Teekyuu 2 is the same as the first season: A pile of crazy, random, fast-paced, nonsensical Japanese humor. There is no plot, no central themes, no character development, no nothing.
This show is all about "how much randomness can we fit into 2 minutes" and then they play it at a high speed. Scenes are put together similarly to Lucky Star, but with some unrealistic and over the top situations thrown into the mix.
The only "funny" thing about this show is the speed of the voices/jokes/scenes, which flash by very fast. Unfortuately, the effect dies off by the second season so the 'joke' gets old. And there are a TON of seasons after this, which are even less funny.
Overall, it migt have you smiling for an episode or three, but is not overly entertaining or funny. It's something you might link a friend for a laugh, but not something to add to your 'want to watch list'. I recommend something like Cromatie High School in it's place.