Piece of isolated territory is rented out (5)
I believe the answer is:
islet
'piece of isolated territory' is the definition.
'is rented out' is the wordplay.
'rented out' becomes 'let'.
'is'+'let'='ISLET'
(Other definitions for islet that I've seen before include "Small landmass" , "Ait or eyot" , "Minor key" , "Eyot, key" , "Stile (anag)" .)