Go across for bridge (4)
I believe the answer is:
span
This clue is a double definition.
'go across' is the first definition.
(I've seen this before)
'for bridge' is the second definition.
(synonyms)
(Other definitions for span that I've seen before include "Measurement between tips of thumb, little finger" , "Bridge or range" , "Distance or interval between two points" , "Extend across, bridge" , "Extent of bridge or life" .)