Style of jazz with some extra drumming? (4)
I believe the answer is:
trad
'style of jazz' is the definition.
(I've seen this before)
'with some extra drumming?' is the wordplay.
'with' indicates the answer is hidden within the clue.
'TRAD' is hidden in the letters of 'some extra drumming'.
(Other definitions for trad that I've seen before include "(Of jazz) traditional" , "Conventional (jazz)" , "Classical (abbr)" , "music" , "Form of folk or jazz" .)