First of all, (maybe) this guide isnt for the high-elo-players! But for beginners and advanced players could this guide be very usefull!
Many of players say, Evelynn is hard nerved after the SS3-Patch and they got right. But you have to realize that Eve was overpowered before this. Now she is "more" balanced.
The only thing you have to do differently, is to use your ultimate Agony's Embrace as an engage and not as a finishing-move.
If you comprehend that fact, Eve still being one of the best gankers in the game. The probleme of Late-Game-Eve is that her damage is too low for a good AP-Carry, after the SS3-Patch, but if you play her tanky and combine her abilities with hard slow-effects, she can be one of the best gankers and lane-supporters of the game. Thats the reason why i start to jungle her. NOT as DMG-CARRY! But rather as an OFFTANK-SUPPORT-JUNGLER!

Here some stats with this guide:

The following guide will explain the important things about jungling Eve.

Evelynn's origins are shrouded in mystery - a mystery she herself helps to perpetuate. What everyone does know about Evelynn, however, is that she is one of the most skilled assassins in Valoran. It is clear upon first meeting her that she is not quite human. Some theorize that she was cursed with a mild form of fantastical vampirism as a child. Supporters of this theory contend that her ability to sap the very life essence of her opponents on (and off) the Fields of Justice, while still being able to tolerate direct sunlight, would account for this belief. There is some evidence that Evelynn originally came from the Shadow Isles - the mysterious island located northwest of Valoran that is eternally blanketed by a thick, unnatural fog. It is thought that the Shadow Isles are home to countless forms of undead, though no one seems eager to perform the exploration necessary to find out the truth. Evelynn neither confirms nor denies her connection to Shadow Isles.

The power brokers of Valoran know that Evelynn's services come at the highest of premiums, and her recent addition to the League of Legends indicates that her ambitions are growing. Her savagery on the Fields of Justice has been so great that new rumors about her origins are now circulating. The most popular one - an abuse of magic as a child morphed her into the hungering beast her opponents see on the battlefield - always makes her smile when hearing it... an act that bares her razor-sharp fangs and teeth. Evelynn now curries favor from League summoners, gaining influence for reasons known only to her. While the nature of her plans- much like almost everything else about her - remains unknown, there's little doubt that those plans are now set on the world stage.

''There is little mystery about her to me - she is the ultimate predator.''
-- Jax


STATS

Damage 48 (+3.5 / per level)
Health 380 (+90 / per level)
Mana 190 (+45 / per level)
Move Speed 340
Armor 12 (+4 / per level)
Spell Block 30 (+1.25 / per level)
Health Regen 8.9 (+0.55 / per level)
Mana Regen 7.1 (+0.6 / per level)

Shadow Walk - When out of combat, Evelynn enters stealth only being able to be seen by nearby enemy champions or true sight. While stealthed, she rapidly regenerates Mana.


Hate Spike - Evelynn fires a line of spikes through an enemy, dealing damage to all enemies in its path.
Evelynn fires a line of spikes through a nearby enemy dealing 40/60/80/100/120 (+0.45) (+0.4) magic damage to all enemies in its path.

Hate Spike prioritizes targets Evelynn has recently attacked.
Cost 16/22/28/34/40 Mana
Range 500


Dark Frenzy - Evelynn passively increases her Movement Speed when hitting enemy champions with her spells. Upon activation, Evelynn breaks free from slows affecting her and gains a massive Movement Speed boost for a short duration.
Passive: Evelynn's spell hits on enemy champions grant her 4/8/12/16/20 Movement Speed for 3 seconds (effect stacks up to 4 times).

Active: Evelynn removes all slows affecting her and gains 30/40/50/60/70% Movement Speed for 3 seconds.

Champion kills and assists refresh Dark Frenzy's cooldown.
Cost 0
Range 0


Ravage - Evelynn slashes her target twice, dealing damage with each hit. She then gains increased Attack Speed for a short duration.
Evelynn slashes a target 2 times, dealing 35/55/75/95/115 (+0.5) (+0.4) magic damage with each strike. Evelynn then gains 60/75/90/105/120% Attack Speed for 3 seconds.
Cost 50/55/60/65/70 Mana
Range 225


Agony's Embrace - Evelynn summons spikes from the ground to deal damage and slow enemies in the area. She then gains a shield based on how many enemy champions were hit.
Evelynn impales all enemies in the targeted area, dealing 15/20/25 (+0.01)% of their current Health in magic damage and slowing their Movement Speed by 30/50/70% for 2 seconds.

Evelynn siphons their pain, gaining a 150/225/300 health shield for each enemy champion hit which lasts up to 6 seconds.
Cost 100 Mana
Range 650

PROS

-Fast movement-speed ( Dark Frenzy)
-Strong ganks ( Shadow Walk)
-Enemies are forced to buy pink wards ( Shadow Walk aswell)
-With the right items, Permaslow-effect

CONS

-Less dmg
-Not a "1 vs 1" champ
-Easy to counter-jungle

For runes, I choose:

---"Armor" for Seals for better jungling and ganks.
---"Magic Resist per Level" for Glyphes for more tankyness in Late-Game.
---"Hybrid Penetration" for Marks because you can jungle faster and you got better early ganks.
---"Movement Speed" for Quintessences because Movementspeed is one of the best qualities of Jungling-Eve.

Here the opinions differ. From my point of view, most of the junglers more profit by the "Utility-Tree". Because many junglers (beginners or advanced junglers) have one problem: often they are 1 or 2 levels behind the lanes! And this fact makes it hard for them to gank. The "Utility-Tree" can change this. This tree let you get Greed (if the first ganks are not succesfull you are happy for every gold you earn!) , Awareness and Nimble / Wanderer .All good things for an jungler!

The Start-items are always the same. Boots are not as strong as before SS3-Patch so start in any case with the Hunter's Machete and 5 x Health Potion. You will need them for jungle!!! If you got a little money , always buy some Health Potion, because you will get dmg while jungling and if you want to gank, you will need often full HP.
The item build of my jungling eve is very differently because it's changing with the situation of the lanes. If the lanes need a tank while ganking, buy early a Giant's Belt and a Chain Vest. That makes you tanky enough till mid game starts!But if the lane needs dmg, buy Sheen first and a [Amplifying Tome] or Blasting Wand. But anyways, make your choice of buying Iceborn Gauntlet or Rylai's Crystal Scepter and reffering to your choice, buy the first items!
The Core-Items are choosen by aspects of tankyness and slow-effects.
Rylai's Crystal Scepter makes you tanky with 500 HP and give you while spamming Hate Spike a permaslow-effect. With the passive of Dark Frenzy which increase your movement-speed while using an ability, noone can escape from you!
Iceborn Gauntlet do almost the same. It makes you tanky with 60 Armor and give you an aoe-slow-effect when you use Ravage. If you got both, you can anytime slow a big area!
Abyssal Mask makes you tanky with 45 magic-resist and increas your dmg with 70 ability-power and reduce the magic-resist of nearby enemies.The onyl thing you have to know is, do you need armor, magic resist or health?!

When jungling Evelynn, you have to comply with three points:

1. Try to ced the kills to the lane, which you gank. - You are not the carry. Your first function is to support the lanes.

2. Always keep an eye on the lanes! - The lanes have top priority. If the situation give the possibility to gank, DO IT! Only go in the jungle to farm, if you cant gank! If the enemie think, you could be there, he will play defensive and maybe he do mistakes because of that. So let the enemie know, that you can gank anytime!

3. Counter-jungling - Is a good way to take the enemie-jungler out of the game but remember the fact that you are not a carry! So your dmg is maybe less and maybe you are not able to kill someone alone. So estimate if counter-jungling is an option for you! To know where the other jungler is, is an advantage too! Look, but dont fight!

The Early-game is the time where jungle-Eve works best.
I show you now the route (almost like the rout you see in the picture!), which you take when you start bottom of the map!
Normaly you start at "the wolves " fallowed with "the blue-buff". After that you have to decide:
Either you try to gank the top or the mid lane (without red-buff and slow-items, your ganks are not as strong as with) or you continue to jungle with "the wraiths " fallowed with "the red-buff". After "red", you got the best requirements to gank! Ask your lane, if the enemie had set pink wards and plan your way to the lane. Important is the right focus. In early you have adequate dmg! Should the enemie Flash, your gank was succesfull! Many junglers do often the same mistake as they chase the enemie under their turret. NO! DONT DO THAT IN EARLY! (Eexcept you can kill your enemie with one Hate Spike and use Dark Frenzy to escape quickly.) If the enemie used Flash, go away but let the enemie see that (Run to river or back to jungle). Then come back and gank again! Now they got no Flash and now you can chase them!
This procedure works on every lane. So try it again and again.
After the gank, look for other lanes to gank them. If not possible go back to jungle and farm or backport.
Likewise important is, the second and all following "blue-buffs" go to the mid or top lane (except they dont need it). Your passive Shadow Walk is strong enough to play without blue. So use it if possible. The "red-buff" goes to the "ad-carry" after you got a slow-effect-item like "Iceborn Gauntlet" or "Relays Crystalceptar".

Late-game is more difficult for Eve because she's not a natural tank and she's got not enough dmg to take down somebody instantly. The right positioning is the way to win. Never split up too far from you teammates because you need their dmg and they need your ultimate for the engage and your slow for chasing! Eve's ultimate Agony's Embrace still strong when it is used as an engage and after using, your teammates have enough time to set their ultimates! Important too is, to concentrate your dmg on one target, at best the ad/ap-carry. If he runs away, chase him till he's out of the fight!

That's how i play Evelynn as a jungler. You dont have to adhere strictly to this guide. You can change little things to adept this playing to your own playing-style.

Have fun!

Don't flame ;-)