anyways, the only things the Facebook app for the iPhone supports are the home page, messages, looking at peoples profiles, editing your own profile, and chat. No facebook games or groups or anything like that work. also, you can add other people as friends. And that's about all it supports. it's basic, but I like it.
Hi, I own a second generation ipod touch, and no you can not play facebook games on it. You can however play other games that you download from the app store.