You never know whether this person suddenly lost their Internet connection or was called away for an emergency, or purposely disconnected because they were losing. I would lean towards not doing anything, personally.
Chess.com has recently put in place a system where if someone keeps disconnecting in losing positions, they will be unable to challenge people until they play some games properly. This kicks in automatically, so I don't think there's a need to report them.


I just played a game on Live Chess that my opponent abandoned. I am not necessarily so upset about that, but I was wondering, what is the proper action to take? Is it my responsibility to report him/her for abuse, or should I just let it go? Like I said, I am willing to forget about it, but first I just wanted to make sure that I wasn't expected to take some sort of action.