Large party beat up bouncer dispatched by club (4,4)
I believe the answer is:
golf ball
'bouncer dispatched by club' is the definition.
'large party beat up' is the wordplay.
'large' becomes 'l'.
'party' becomes 'lab' (abbreviation for Labour).
'beat' becomes 'flog' (flogging is a kind of beating).
'up' says the letters should be written in reverse (in down clue: letters go upwards).
'l'+'lab'+'flog'='llabflog'
'llabflog' in reverse letter order is 'GOLF-BALL'.
(Other definitions for golf ball that I've seen before include "one must take on one's rounds" , "It may be hit by putter" , "It gets driven!" , "Links projectile" , "Pill" .)