The green bar is a lag indicator, which shows how good the connection to the server is. Lag is also the most likely reason that your opponent seems to get extra time. This is a chess.com article explaining lag.
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The title says it all, sometimes (rare ones) my opponen get extra time (about 10 sec, but can happen many times in a game) while in the game, I suppose this is related to the green bar beside the player name that I don`t know what is, plz tell me :v