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

1.
すぐ後ろに, 後を追って
following closely behind someone
:
•
The police were right on his heels after the robbery.
強盗の後、警察は彼のすぐ後ろにいた。
•
Success came quickly, with problems often on its heels.
成功はすぐに訪れたが、問題もしばしばその後に続いた。