Coast road's my special place (8)
I believe the answer is:
corniche
'coast road's' is the definition.
(I've seen this before)
'my special place' is the wordplay.
'my' becomes 'cor' (both are expressions of surprise).
'special place' becomes 'niche'.
'cor'+'niche'='CORNICHE'
(Other definitions for corniche that I've seen before include "cliff route" , "coast road by a cliff face" , "way along cliff edge" , "Roller" , "My place" .)