Tread on somebody's heels - Idioms by The Free Dictionary
tread on somebody's heels
tread on (one's) heels
To walk directly behind someone; to follow someone very closely. I'm so sick of this personal assistant treading on my heels all around the office. He knew the police were treading on his heels, but he didn't speed up or change course so that he wouldn't arouse suspicion.
ˌtread on somebody’s ˈheels follow somebody closely: In the end she left the meeting room, with her assistant treading hard on her heels.
References in classic literature
I could see a clock, a white deal
table, some chairs.