give chase
Verb
Meaning
go after with the intent to catch
Source: WordNetSynonyms
Hypernyms
Hyponyms
Examples
Each man is for his lord, do not give chase.
The policeman chased the mugger down the alley
the dog chased the rabbit
Caesar, lacking a fleet to immediately give chase, solidified his control over the western Mediterranean – Spain specifically – before assembling ships to follow Pompey.
Deputies signaled Hall to pull over, but he allegedly floored the sedan, prompting the lawmen to give chase, officials said.
But when tie fighters take off from the base and give chase, Greef only manages to pick one off before things start to look bad for the heroes.