Target man flying Spitfire (9)
I believe the answer is:
termagant
'spitfire' is the definition.
(thesaurus)
'target man flying' is the wordplay.
'flying' is an anagram indicator.
'target'+'man'='targetman'
'targetman' is an anagram of 'TERMAGANT'.
(Other definitions for termagant that I've seen before include "Harsh-tempered woman" , "Awful female" , "Aggressive, overbearing woman" , "Garment at odds with shrewish woman" , "dragon" .)