Hide away in south-eastern Greek island (7)
I believe the answer is:
secrete
'hide away' is the definition.
(thesaurus)
'south-eastern greek island' is the wordplay.
'south eastern' becomes 'se'.
'greek island' becomes 'crete' (I've seen this before).
'se'+'crete'='SECRETE'
'in' is the link.
(Other definitions for secrete that I've seen before include "Release bodily fluid" , "Hide - discharge" , "(Of gland) produce (a substance)" , "Hide; as gland does" , "Hide away" .)