Local reputation
Local reputation is a count of how many trades you've done with a peer at a particular onion address.
The idea is that if a trade with a peer went well, it's reasonable to expect your next trade with that peer to go well too, creating a sort of rudimentary reputation indicator while maintaining anonymity.
As you trade on Bisq, you will see a count appear on the avatars of users you've traded with.
You can reset your local reputation by deleting the btc_mainnet/tor/hiddenservice
folder in your data directory. Bisq will then generate a new onion address the next time it starts, causing you to look like a new trader to all peers on the network.
Do not delete this directory if you have any open offers, trades, or disputes—or you will become unreachable and unable to respond.