Transport gives me a rest (7)
I believe the answer is:
steamer
'transport' is the definition.
(steamer is a kind of transport)
'gives me a rest' is the wordplay.
'gives' indicates anagramming the letters (I've seen 'giving' mean this (the letters give the letters for another word)).
'me'+'a'+'rest'='mearest'
'mearest' anagrammed gives 'STEAMER'.
(Other definitions for steamer that I've seen before include "Ship; saucepan" , "put over cooker" , "found in the kitchen" , "One heats up" , "Vessel housing galley" .)