This build is a work in progress. I will update regularly when I have time. Looking for comments and tips. Thanks.

Jungling with Warwick is very systematic. Timing is the key for this build to work properly. You cannot waste any time whatsoever. I CANNOT stress this enough.

Every game starts the same, the second you can leave base, head toward the enemy's red buff. You want to cut through your jungle next to wolves to avoid being seen by mid lane. Enter the bushes behind the red buff and make your way to the side bushes ASAP. At this point, you'll be able to see if enemy is starting there or at blue buff. If enemy is there, cut across mid to take their blue buff. If not, then begin with red buff as soon as it spawns. Very rarely, they will have both sides guarded. If this is the case, do not engage as Warwick is weak against most champs early game. Just head to your Red buff and clear normally.

Red Buff
If the coast is clear, then you've taken the enemy's red buff and are at full to near full HP. If you're having trouble with this, the sequence is auto attack a couple times, Q, auto attack a cpl times, Q, smite.

Move over to the raptors. Ward the bushes next to them so that you know when their jungler is entering that side. Take out the large Raptor and leave the rest, you can't take this camp out yet, but you can take the most valuable Raptor. Head top to Krug camp, you'll be about half HP and can easily take this camp out. While at Krug camp, you need to be very observant of the minimap. When their jungle passes your ward, it's time to head out. On your way out, ward the River bushes for top and then clear your Blue jungle.

Blue Buff
So you got chased out of the enemy's red side and have made your way to their blue. Take it out and head to the Wolf camp. Ward the entrance to their Jungle and then take out wolves. Go take out Gromp and head to you Red jungle. The Blue side doesn't take much time at all to clear, so you should able to finish before their jungler arrives.

About now, you are level 4. Clear the other side of your jungle and invade their jungle again to clear out the camps that were left or have respawned. If you do this correctly, you'll hit level 6 and it's time for a gank. You always want to wait to gank with warwick because until he has his ult, he is useless in a fight, with only auto attack. Even your first gank will be weak and will not result in a kill half the time. But it's ok, your focus is objectives. after your first gank which will be mid or bottom lane, get Drake. If your teeam is good, they will help leash. I get people that often don't want to help because they believe not all Drakes are worth getting, but if you get every Drake, the combined buffs will always lead to a win.

Your ganks are fully dependant on your ult availability, Ideally, you will enter each lane the second it pops up. Between ganks, jungle as usual. After the second ult, I usually head to Rift Herald. Get top or mid to help leash. I usually take the kill and give the leasher the buff. Since Warwick doesn't do a lot of damage, your focus is going to be buffing your team the entire game. Get drakes the second they spawn. When passing through lanes or team fighting, make sure to use your W to give them increased Attack Speed. If it's possible to get at least two other champs to leash Baron Nashor, then take it. You want to get every buff as early as possible.

When ganking I try to alternate top/bottom to keep their jungler on the other side of the map while I gank. It just makes things easier. Make sure lanes stay pushed back and start soloing lanes. In any given game, I take out about 90% of the towers that our team takes down.

Warwick is a late game champ, so if you've made it this far, you're in luck, you can now dominate with your team. When team fighting you grant your team 40% increased Attack Speed while giving yourself 80% increased Attack Speed. That combined with all the buffs and your ult's stun for 2.5 seconds, there are very few champs that can withstand your team as a whole. I try to peel off as much as possible to keep their team from staying grouped and to take down lanes. Once you get to the inhibitor, leave it, then come back and backdoor once them or their minions push lane. This forces them to spend more time running around map trying to defend. Also stops them from advancing. Take Baron Nashor as soon as he spawns every time. Then say GG because you've won.