Suppress, stifle (4,2)
I believe the answer is:
hush up
This clue is a double definition.
'suppress' is the first definition.
(I know this)
'stifle' is the second definition.
(thesaurus)
(Other definitions for hush up that I've seen before include "Suppress rumours" , "silence" , "Suppress public mention of (something)" , "Keep silent" , "Cover up, keep quiet" .)