Hide away in south eastern island (7)
I believe the answer is:
secrete
'hide away' is the definition.
(I've seen this before)
'south eastern island' is the wordplay.
'south eastern' becomes 'se'.
'island' becomes 'Crete' (Greek island).
'se'+'crete'='SECRETE'
'in' acts as a link.
(Other definitions for secrete that I've seen before include "Hold and send out substance into the body as gland does" , "Release bodily fluid" , "Cache" , "Hide - discharge" , "Hide; as gland does" .)