A noise has time to surprise (7)
I believe the answer is:
astound
'to surprise' is the definition.
(to astound is to shock or surprise)
'a noise has time' is the wordplay.
'noise' becomes 'sound' (I've seen this in another clue).
'has' means one lot of letters goes inside another.
'time' becomes 't' (abbreviation).
'sound' going around 't' is 'stound'.
'a'+'stound'='ASTOUND'
(Other definitions for astound that I've seen before include "Flabbergast" , "Shock, surprise greatly" , "Stupefy" , "Startle" , "Bewilder" .)