More for the bit player (5)
I believe the answer is:
extra
This clue is a double definition.
'more' is the first definition.
(I've seen this before)
'bit player' is the second definition.
(I've seen this before)
'for the' is the link.
(Other definitions for extra that I've seen before include "Actor in non-speaking role" , "Surplus to requirements" , "on top" , "like one of the crowd" , "walk-on part" .)