Quinn, although not often played, is a great champion. And since I seek out new junglers in normals (I started Diana jungle as well), I decided to try out Quinn. Turns out her ganks with Vault and jungle clear were amazing. At level 16, I almost soloed Baron (until my team ended game T_T) and I will teach you how to do the same. :D
*best part, no boots needed*

Quinn is a marksman, always remember that. If you don't know how to kite, I highly discourage you from trying this.
But if you can kite very well and main adc, you can use this build to jungle after adc was called.
Start blue and blind. After your team leaves you alone, save your blind and smite. Use blind first for all camps (before basic attack) because they can get one attack in before becoming blinded. You might suffer before Madred's Razors, but after you hit 3 and recall, you should have it.
To gank, just simply walk in, E, and start shooting. If there are no minions around, throw your Q as well. The enemy will usually flash at this point (or die if they don't have flash).
After your first zeal, jungle camps will be a joke.

After 6, you will pretty much get free kills when you gank. Ult, E, Q, attack, and ult again.
If any one of your turrets are destroyed at this point, camp that lane.
You should be able to get dragon a level 9 (solo).

Late game, just play like a normal adc, but remember, you are limited on sustain. Go b if you have to and don't be a hero.

Pros:
Too much damage
2 hit all carries
Solo baron at level 16 (but sadly only if you have items...)
Carry to victory

Cons:
No lifesteal T_T
it is hard to fight if you are caught by cc
counter jungled