Rushed out of France (3)
I believe the answer is:
ran
'rushed' is the definition.
'of france' is the wordplay.
'of' indicates a hidden word.
'RAN' is hidden within 'france'.
'out' acts as a link.
(Other definitions for ran that I've seen before include "Managed; hurried" , "Administered" , "11 on foot" , "Managed; raced" , "was in charge" .)