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.
A humorous way of saying that what one has said is just what they acknowledge and may not be entirely accurate
Mike: Have you returned from your vacation on the beach? Your skin seems to get tanned.
Jenny: My skin is always dark. That's my story and I'm sticking to it!