give chase
US /ɡɪv tʃeɪs/
UK /ɡɪv tʃeɪs/

1.
гнаться, пустить в погоню
to pursue someone or something, typically in order to catch them
:
•
The police officer decided to give chase to the fleeing suspect.
Полицейский решил пустить в погоню за убегающим подозреваемым.
•
The dog barked and started to give chase to the squirrel.
Собака залаяла и начала гнаться за белкой.