Searched round area frequently visited (7)
I believe the answer is:
haunted
'frequently visited' is the definition.
(haunt can informally mean to frequent a place)
'searched round area' is the wordplay.
'searched' becomes 'hunted'.
'round' is an insertion indicator.
'area' becomes 'a' (maths abbreviation).
'hunted' going around 'a' is 'HAUNTED'.
(Other definitions for haunted that I've seen before include "Ghost-ridden" , "Frequented by a ghost" , "Worried" , "Possessed" , "with the ghost still around?" .)