Facial hair of jazz fan sent up by the Man (5)
I believe the answer is:
tache
'facial hair' is the definition.
(I've seen this before)
'jazz fan sent up by the man' is the wordplay.
'jazz fan' becomes 'cat' (slang term for a jazz fan).
'sent up' says the letters should be written in reverse.
'by' means one lot of letters go next to another.
'the man' becomes 'he' (he refers to a man).
'cat' backwards is 'tac'.
'tac'+'he'='TACHE'
'of' acts as a link.
(Other definitions for tache that I've seen before include "Some bristles" , "facial hair" , "Facial ornament" , "Whiskers (informal)" , "show on one's face" .)