Officer with tailless pussy on island (7)
I believe the answer is:
majorca
'on island' is the definition.
(I know that Majorca is a island)
'officer with tailless pussy' is the wordplay.
'officer' becomes 'major' (type of military officer).
'with' is a charade indicator (letters next to each other).
'tailless' means to remove the last letter (the tail of the word is removed).
'pussy' becomes 'cat' (I've seen this in another clue).
'cat' with its final letter removed is 'ca'.
'major'+'ca'='MAJORCA'
(Other definitions for majorca that I've seen before include "Tourist destination" , "Palma its capital" , "Holiday island" , "Largest of the Balearic Islands" , "Main Balearic island" .)