Linger endlessly in south coast location (4)
I believe the answer is:
hove
'south coast location' is the definition.
(I've seen this before)
'linger endlessly' is the wordplay.
'linger' becomes 'hover' (synonyms).
'endlessly' means to remove the last letter.
'hover' with its final letter taken away is 'HOVE'.
'in' acts as a link.
(Other definitions for hove that I've seen before include "Resort near Brighton" , "south coast location" , "Resort adjoining Brighton" , "Sailor's raised" , "Town near Brighton" .)