Facial hair (and fringe) goes up in smoke (9)
I believe the answer is:
sideburns
'facial hair' is the definition.
(type of facial hair)
'fringe goes up in smoke' is the wordplay.
'fringe' becomes 'side'.
'goes up in smoke' becomes 'burns'.
'side'+'burns'='SIDEBURNS'
'and' is the link.
(Other definitions for sideburns that I've seen before include "Facial whiskers" , "temple adornments" , "Cheeky display" , "Hair" , "hirsute growth" .)