AP Varus Works.

Sorc Boots with Furor (Helps to Chase and Penetrate magically.)

Nashors Tooth (Bonus AP on-hit and attack speed to get your passive to three stacks faster.)

Luden's Echo (Bonus AP on-hit damage and movement speed to chase + Extra AP.)

Rylai's (The Slow is superb for chasing or kiting. Health is also very useful + Extra AP.)

You Can Lichbane if you Want or a Bloodthirster for sustain

Morrellonomicon (This gives you alot of CDR and Mana Regen to compensate for the excessive usage of skils.)

The purpose of AP Varus is to do on-hit damage with your W passive, as well as extra damage when you apply three stacks and then use an ability. This is not a troll guide, this build can work under the right circumstances.

How to Play Ap Varus: Ap Varus relies on his ultimate very much since it does a great deal of AP damage, but most importantly you want to be trying to auto-attack as much as possible, and once having 2+ stacks of Blight you then want to either E or Q or even Ult to do massive damage.

Kill Combo: Ultimate + E + AutoAttack(s) no more than 3 + Q + AutoAttack(s) no more than 3

Poke Combo: Autoattack(1-2) + E + Autoattack(1-2) + Q

Teamfighting: Try to autoattack as many people as you can and then use your abilities as they clump more and more. Start by trying to auto-attack w/o getting caught and then Q or E before an engage

Trading: Poke only unless you can get the kill. So utilize the combo above, or keep trying hard to reach 3 stacks and then pop it with preferably Q for alot of Burst.

Tip: If an enemy is running away do not run away as well (if you know this isn't a bait) proceed to auto-attack them as they flee, especially if they are a Melee champion (with no gap-closers because of their kit or CDs) once you feel like you got enough auto-attacking done then Q

Cons: May get flamed by pessimistic teammates for trying this build

Pros: You're having fun, still does damage, a tanky aspect to the build, out-damages AD Varus if utilized properly with all the on-hit effects. You still hurt towers/structures with this build.