Edge in very quietly and dress (5)
I believe the answer is:
primp
'dress' is the definition.
('primp' can be a synonym of 'dress')
'edge in very quietly' is the wordplay.
'edge' becomes 'rim' (rim is a kind of edge).
'in' indicates putting letters inside.
'very quietly' becomes 'pp'.
'rim' put within 'pp' is 'PRIMP'.
'and' acts as a link.
(Other definitions for primp that I've seen before include "Make minor adjustments to one's appearance" , "Groom oneself elaborately" , "Make fussy adjustments to one's appearance" , "Tidy" , "Titivate one's appearance" .)