Bisq does p2p matching much like localbitcoins. They use their app to match people and one or two guys act as arbitrators in case of dispute.
The idea is that there will be many arbitrators but when you look closer, it's basically the two guys that created the software. That's how they make money on it. Certainly a step in the right direction.
I was sure I read something - on their front page, on their mailing list or somewhere else - to the effect that they were supporting BCH. It might have been a list of NY Agreement signatories?
However, I received a PM by one of our active members who did some research and couldn't find anything about that.
So I'm doubtful now. Any additional info could be useful to set this straight.