Slave travelling round island with small bag (6)
I believe the answer is:
valise
'small bag' is the definition.
'slave travelling round island' is the wordplay.
'travelling' indicates anagramming the letters.
'round' indicates putting letters inside.
'island' becomes 'i'.
'slave' with letters rearranged gives 'valse'.
'valse' going around 'i' is 'VALISE'.
'with' acts as a link.
(Other definitions for valise that I've seen before include "Small overnight bag" , "A small suitcase for Leavis" , "Travel bag" , "Small travelling bag or suitcase" , "Elvis A? (anag)" .)