Hi.
Probably the problem is your internet connection and not chess.com live. maybe your connection has high lag and you must improve your connection`s speed.
Or maybe you do multiple things at same time. its better not to download in playing time.
Internet Connection
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when i was in a game, my attention's only on the game. I'm always doubt why the internet connection will interrupt on that moment..maybe the problem is not in my side, it is maybe, site problem? by the way, thank u Mr. Shukh.
You`re welcome.
the last comments might be helpful:
http://www.chess.com/forum/view/general/chesscom-messageconnection-interruptedreconnecting?page=1
Why internet connection on live chess always interupted at the middle of the games?