Island finally gets link by bridge (4)
I believe the answer is:
skye
'island' is the definition.
(Scottish island)
'finally gets link by bridge' is the wordplay.
'finally' says to take the final letters.
The final letters of 'gets link by bridge' are 'SKYE'.
(Other definitions for skye that I've seen before include "somewhere off Scotland's west coast" , "Destination of a princely boat trip" , "Largest isle of the Inner Hebrides" , "Portree's isle" , "Largest island of Scotland's Inner Hebrides" .)