I have a small wrist too! I was planning to wear it on my like.. the bicep part D Hehe. (perhaps you're thinking it'll look weird, but who cares! I'd do it) I don't know if it'd fit there, since I don't have one. but I want one thoughh!
I think you would have to have a really really small arm to wear it around your bicep. I tried one on at Loehmann's and there isn't a lot of room between my wrist and the braccialleto. I used the inner buttons/snaps and my wrist is 5.5", so the outer buttons/snaps would give you maybe another half an inch to an inch.