Discover hunter moving around area (7)
I believe the answer is:
unearth
'discover' is the definition.
(to unearth is to discover or find)
'hunter moving around area' is the wordplay.
'moving' indicates an anagram (letters are moved around).
'around' means one lot of letters goes inside another.
'area' becomes 'a' (maths abbreviation).
'hunter' is an anagram of 'unerth'.
'unerth' enclosing 'a' is 'UNEARTH'.
(Other definitions for unearth that I've seen before include "Dig up or find for haunter" , "Disclose" , "Dig up - uncover" , "Track down" , "dredge up" .)