Pick house in Greek island close to shore (6)
I believe the answer is:
choose
'pick' is the definition.
(thesaurus)
'house in greek island close to shore' is the wordplay.
'house' becomes 'ho' (abbreviation for house**).
'in' is an insertion indicator.
'greek island' becomes 'cos' (I've seen this before).
'close to' indicates one should take the final letters (the close/ending of).
The last letter of 'shore' is 'e'.
'ho' going inside 'cos' is 'choos'.
'choos'+'e'='CHOOSE'
(Other definitions for choose that I've seen before include "Select, opt for" , "Think fit" , "Vote" , "Make a selection" , "Pick, select." .)