OP seems to be asking sites which allow people to play with each other for btc or in house currency which can be bought using bitcoins. Chess.com afaik doesn't allow any sort of betting.

And to answer your ques OP no I don't know any site which allows you to bet using bitcoins, the main concern like others suggested is it will get abused by cheaters using super fast engines like Houdini, Rybka, Swordfish, which players like you and me can't defeat.

They'd most probably develop bots so they can even use these engines to play for them in bullet/blitz tournaments because otherwise it will be difficult for them to copy paste the moves in time.