Part of the woodwork in pub by bridge (8)
I believe the answer is:
crossbar
'part of the woodwork' is the definition.
(horizontal bar which may be made of wood)
'pub by bridge' is the wordplay.
'pub' becomes 'bar' (both are drinking establishments).
'by' means one lot of letters go next to another.
'bridge' becomes 'cross' (I've seen this in other clues).
'bar' put after 'cross' is 'CROSSBAR'.
'in' is the link.
(Other definitions for crossbar that I've seen before include "Part of bicycle or goal" , "Post connecting goalposts" , "Horizontal piece, on a bicycle say" , "It may support rider" , "Horizontal part of a goal" .)