Is Trinity Force a good option on AP Kennen?

Just bought kennen and found that Sheen is very nice on him (forget about mana).

I got almost always Lich Bane but since he benefits from autoatacks for his W and Trinity offers AS + HP + Slow on autoattacks I feel like is a good option.

So again is TF recommended for AP Kennen? (I know there is a AD Kennen but I dont feel like doing so).

AP Kennen obviously benefits from anything that gives AP or reduces cooldowns. He also needs to have a fair amount of survivability in order to effectively utilize his ultimate (Zhonya's Hourglass is popular for exactly that reason). Sheen is strong on him given how often he fires off his skills; following up with the auto-attack provides that extra layer of burst damage.

Zeal (the second part of Trinity Force), however, gives him nothing at all except some move speed... which he gets through Lightning Rush anyway.

Phage is nice-ish for its health, but the extra attack damage and the on-hit slow effect aren't very helpful. This item is surpassed on him entirely by Ryeli's Crystal Scepter.

Once you build your Trinity Force, the Sheen effect gets stronger, but you're spending a lot of money for that benefit. Lich Bane has the advantage here because, as AP Kennen, your AP will be much higher than your AD and you get the advantage of suddenly doing truckloads of AD from Lich Bane procs.

In short: Don't bother with Trinity Force. Lich Bane is a superior upgrade of Sheen, especially with other items you should seriously consider (Rylei's and Zhonya's).

building sheen on ap kennen requires you to be close ranged to the enemy champion kennens attack range is 575 being close to other champions how ever puts yourself in danger since ap kennen is very squishy you die easier,most of the time in team fights you will be lucky to get all your skills off at once without dieing or using zhonyas inconclussion you wont proc sheen very often.

you'll find that as the game progresses, Kennen is not much more than an AoE ult. The most effective thing you can do, is build to make that as game-changing as possible.

Items that supplement this are: Hourglass, Abyssal, Rylai, Void, Deathcap (not in that order though)

While in theory, Lich bane works? It is a really expensive item that you won't be benefiting from all too much.

Most players nowadays rush a Will of the Ancients, and then proceed into items that I've listed above depending on matchup.

Mess around and see what you like the most, but I would certainly avoid Trinity Force.