Well, it has similar fingerings, but the register key is a bit different. On the clarinet, it causes you to go up a 12th, whereas it's just an octave on the sax.
I've never actually picked up a sax, though, although I probably should have. I did, however, try trumpet, guitar, and violin, but I never picked any of those up seriously.
You're in jazz band? awesome! what are some of your favorite jazz songs?