Police district or man, maybe (5)
I believe the answer is:
manor
'police district' is the definition.
(I've seen this before)
'or man maybe' is the wordplay.
'maybe' indicates an anagram.
'or'+'man'='orman'
'orman' anagrammed gives 'MANOR'.
(Other definitions for manor that I've seen before include "Landed estate" , "Big house - police district" , "Roman (anag.)" , "Lord's estate" , "patch" .)