be on the run
to be trying to avoid being caught, especially by the police:
After a month on the run, the prisoners were finally recaptured by the police.
to hurry from one activity to another:
She's always on the run and never has time for a chat.
Thesaurus: synonyms and related words
Running away and escaping
- abscond
 - back away
 - back off
 - bail out
 - be at large idiom
 - beat a retreat idiom
 - fugitive
 - gaolbreak
 - getaway
 - go/be run to ground idiom
 - heel
 - jailbreak
 - leg
 - loose
 - shake sb/sth off
 - shoot through
 - skedaddle
 - slip
 - stand clear
 - throw
 
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You can also find related words, phrases, and synonyms in the topics:
Hurrying and doing things quickly
Busy and active