Chase round a resort (5)
I believe the answer is:
haunt
'resort' is the definition.
('haunt' can be a synonym of 'resort')
'chase round a' is the wordplay.
'chase' becomes 'hunt' (hunting is a kind of chasing).
'round' is an insertion indicator.
'hunt' going around 'a' is 'HAUNT'.
(Other definitions for haunt that I've seen before include "A favourite place" , "Visit in spectral form" , "Keep appearing" , "Visit as a ghost" , "Regular stamping ground" .)