Director flared up having problem over total nonsense (6,9)
I believe the answer is:
alfred hitchcock
'director' is the definition.
(I know that Alfred Hitchcock is a director)
'flared up having problem over total nonsense' is the wordplay.
'up' is an anagram indicator (letters get chucked up).
'having' says to put letters next to each other.
'problem' becomes 'hitch' (a hitch is a problem or difficulty).
'over' means one lot of letters go next to another (in a down clue, some letters go over others).
'total nonsense' becomes 'cock' (cock can mean nonsense or rubbish).
'flared' with letters rearranged gives 'alfred'.
'alfred'+'hitch'+'cock'='ALFRED HITCHCOCK'
(Another definition for alfred hitchcock that I've seen is " English-born film director".)