Just happened to me too! Against a player I've been trying to rematch forever! D'ho!
Again With The @#%ing Disconnects

At least it didn't take my rating points tho. It was weird..the time clock for both players was just flashing and it said I disconned but I know I didn't

The clients don't communicate directly. You client communicates with the Live server process, as does your opponent's. Your IP isn't exposed to your opponent so they can't kick you off.
https://support.chess.com/customer/en/portal/articles/1444918-my-internet-connection-is-fine---why-am-i-getting-disconnects-
https://www.chess.com/blog/News/how-to-adjust-your-live-chess-connection
I don't care what chess.com support has to say, there are morons on here who're using disconnect programs and they should do everything that they can, to search them out and BAN them!
One of the chess.com SWAT teams is rappelling down from a helicopter onto the house of an alleged chess move criminal in this very moment.
Just for you.

Director Comey in tear filled eyes says he is Naseous when he thinks of how you have been wronged.
the big wig twitted. "So Sad. Yet Its Time to Move on. Let us again work to make Chess.com Great again".
all the great pols of the day are feeling for you man. you will be up and crunching patzers in a few short hours DUDE
Here I was, playing another high rated player in Live chess and for the umpteenth time, against a lot of higher rated players, I get disconnected, mid-game! No matter how much I try to refresh my screen in order to get back into the game, I'm still not able to do so! I don't care what chess.com support has to say, there are morons on here who're using disconnect programs and they should do everything that they can, to search them out and BAN them!