Sound asleep? (5)
I believe the answer is:
'sound asleep?' is the definition.
(sound made by a sleeping person)
This is the entire clue.
(Other definitions for snore that I've seen before include "How to keep someone awake while sleeping?" , "Make noises sleeping" , "Make racous nocturnal sound" , "Breathe noisily during sleep" , "Make raucous nasal sound during sleep" .)