County has finished with girl (7)
I believe the answer is:
donegal
'county' is the definition.
(county of Ireland)
'finished with girl' is the wordplay.
'finished' becomes 'done' (both can mean completed).
'with' is a charade indicator (letters next to each other).
'girl' becomes 'gal'.
'done'+'gal'='DONEGAL'
'has' is the link.
(Other definitions for donegal that I've seen before include "Irish town" , "part of Ireland" , "County of NW Ireland" , "County of NW?Ireland" , "Lean dog (anag) - Irish county" .)