To compete with someone closely, with the possibility of soon defeating or replacing them.
hot on someone's heels
Close behind; pursuing or following closely.
at someone's heels
Following someone very closely.
breathe down someone's neck
To follow or supervise someone too closely, causing discomfort for tha …
hot on the trail
Synonym of hot on someone's heels.
someone's goose is cooked
All hope is gone; there is no possibility of success; the period of go …
while we're young
soon, without much delay (urging someone to hurry up)