I've been playing Teemo since I started playing LoL, he is by far my most fave champ. As for an AP build, I start off with BoS, and 3 health pots, and I prefer to lane with a support in bottom as Teemo is very squishy in the beginning.
The first major item I build is Sorc Shoes, then Nashors Tooth. The Tooth gives you attack speed, and CD reduction so you can spam more shrooms. After the Tooth, build towards the mask, and Runaan's Hurricane. Mask is priority over the Hurricane for the AP, and magic penetration. Once you have the hurricane, build a Deathcap and a Frozen Mallet. Because of the Hurricane, once you have the Mallet, you will become very valuable in a team fight due to the fact that your auto attack is spread amongst 3 different targets, and the Hurricane causes on hit effects to every dart which means you poison AND slow every target you hit.
In short, the Hurricane, Nashor's Tooth, and the Mask are vital items to this build. Once you have those, you can build any other way you want as AP, if you want survivability, buy armor, or a Rod of Ages if you wanna increase your dmg output, and give yourself a bit more health. I've been using this build for some time now, and it works quite well. I hope it works for you, if not, perhaps you can develop a build of your own with these guidelines.