I'm not so sure that Eve is set up to counter jungle well regardless of if she has a wriggle's or not.

A wriggle's will result in higher sustained damage against creeps.

But a sheen will result in significantly higher damage against players and is only 75% of the cost.
And still will drastically improve Eve's jungle speed.

I think jungle Eve should focus more on ganking than counter jungling. That will force the other team to invest into pink wards and hence harm their income in a great way and successful ganks will give your team significant advantages in lane.

Sucessfully stealing buffs is annoying and worthwhile, but I'm not convinced that Eve is good at this regardless.

Stealing the smaller camps, while irritating, is hardly a setback because of their low value and fast reset time. Most junglers I see doing this usually end up getting caught and end up helping the other team in the end.

I like the build a lot, seems a lot more geared for competitive play. I think by going a little more AP heavy, you can get pretty bursty but sustained damage is def the way to go imo. I just had one question:

You are using a Philosopher's Stone route which I normally reserve for slower tanky junglers. The GP5 is always great and Philo is great for roaming, but doesn't seem like with her stealth you should really grab a Wriggle's Lantern so that you can counter jungle more effectively? Do you find you really do enough damage to jungle minions not to use it?

Totally agree here, Eve AP is the way forward. I am looking forward to a guide based on that.

I think this guide is a good start. It's quick and to the point and explains decisions behind item and runes briefly. I would advise to add a section explaining your mastery choices. Overall I like the build and the guide. The build works quite nicely for jungling/ganking. My first game I went 4/2/5 before they surrendered. One thing that I found that inhibits eve early on with this build is her lack of movement speed. Until she gets her W for the speed buff, its hard to land early ganks, especially without starting with boots of speed.

You need to explain the thought process behind a lot of your decisions, like the masteries. You also need to work on BBcode and generally expand the guide, as you told you would. It's a nice start, but needs a lot of polish. Read this guide and try to improve. If you do, expect an upvote.

I'd rather play Eve AP after the remake, but this guide seems pretty good though.