Timestamps visually show the time taken for each move in a game. They're shown next to each move in the moves list, in both Live chess and Daily chess.
The duration of time taken by each player for every move is depicted by the length of colored bars, where longer bars signify more time consumed:
For Daily games, the time may be represented in hours or days instead.
How to Disable Timestamps
Click on Settings from the menu at the bottom left corner of any page on Chess.com
From the Settings menu, choose Live Chess or Daily Chess, depending on where you want to disable the timestamps
Navigate to the Timestamps setting within the Live or Daily Chess menu and toggle it off
Click Save to apply the changes