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)