Hurry back for jazz (4)
I believe the answer is:
trad
'jazz' is the definition.
(trad jazz is a type of jazz)
'hurry back' is the wordplay.
'hurry' becomes 'dart' (darting is a kind of hurrying).
'back' is a reversal indicator.
'dart' back-to-front is 'TRAD'.
'for' acts as a link.
(Other definitions for trad that I've seen before include "Form of folk or jazz" , "Type of jazz or folk" , "Style of jazz" , "music" , "(Of jazz) traditional" .)