You were disconnected and the reason could be down to the Live server to any of the connections between you and the Chess.com Live server. Your client doesn't communicate directly with your opponents so they have no way to impact your connection state.
https://support.chess.com/customer/en/portal/articles/1444849-why-did-the-clock-times-suddenly-change-the-clocks-seem-broken-
https://support.chess.com/customer/en/portal/articles/1444918-my-internet-connection-is-fine---why-am-i-getting-disconnects-
You explanation is exactly what you would see during a normal disconnection event.
If you are on the website, this may also help with connection issues:
https://www.chess.com/blog/News/how-to-adjust-your-live-chess-connection
I was winning and about to claim the opponents queen when my screen disconnected suddenly. I reconnected, but something was wrong. I had to continuously reconnect to the game board over and over every 10 - 15 seconds. Once the opponents time ran out, the loop continued even though he was at zero time. Finally, when I stopped reconnecting it said that I had lost due to time out... unfair play...