Hot on (one's) heels adjective phrase
Following somebody closely
We should answer the last question carefully because the other team is hot on our heels.
The thief will not be able to escape because the police are hot on his heels.
Kate, you should run faster, Jennie is hot on your heels.
stop following, stop disturbing
Used to describe the imitation of others' manner or the following of others' guidance.
To go after or follow one anywhere.