A few little mysteries:-
6 Down:- "Brief period before fifth over" (5) R---T (remit?)
11 Across:- "A little more time for Rex" (4) --T- (mite?)
15 Down:- "Nothing I cut off comes back" answer is NIL
20 Across:- "Thorn possibly not recovered" (4) R-N-
22 Across:- "A foreign place as described" answer appears
to be ATHENS. ("as" around "then" seems favourite)