on somebody’s heels
US /ɑn ˈsʌm.bə.diz hiːlz/
UK /ɑn ˈsʌm.bə.diz hiːlz/

1.
紧随其后, 尾随
following closely behind someone
:
•
The police were right on his heels after the robbery.
抢劫案发生后,警察紧随其后。
•
Success came quickly, with problems often on its heels.
成功来得很快,问题也常常随之而来。