Keep (close) tabs on somebody/something informal verb phrase
To observe or monitor someone or something carefully to check what they are doing
Keep tabs on your neighbor. That guy is up to something.
Henry keeps tabs on the project to make sure everything is on track.
While one is in a position of power and in charge of supervising someone or something
If you say that you keep (someone or something) in check, you mean that you keep them under control.
The verb "keep" should be conjugated according to its tense.
The expression derived from America in the mid 19th century. Bartenders used a slate, which is also known as a tablet or a tab in short, to write down the drinks each customer had drank. Since the bartender had to watch each customer carefully to keep track of the number of drinks they had consumed, the expression began to have the meaning as we know it today.
Used to emphasize that someone or something is a lot more or a lot better
Mia can paint a damn sight better than I can.