Holiday island with drunken hordes (6)
I believe the answer is:
rhodes
'holiday island' is the definition.
(Greek holiday destination)
'drunken hordes' is the wordplay.
'drunken' indicates anagramming the letters.
'hordes' is an anagram of 'RHODES'.
'with' is the link.
(Other definitions for rhodes that I've seen before include "Hordes go to the Greek island" , "Island, explorer" , "Greek island - British-born South African statesman" , "British financier and coloniser in southern Africa, d. 1902" , "Cycled round hot Society Island" .)