Cosmetic to remain on cheek (8)
I believe the answer is:
lipstick
'cosmetic' is the definition.
(I know that lipstick is a type of make-up)
'remain on cheek' is the wordplay.
'remain' becomes 'stick' (both can mean to stay).
'on' is a charade indicator (letters next to each other).
'cheek' becomes 'lip' (both can mean insolence or rudeness).
'stick' put after 'lip' is 'LIPSTICK'.
'to' is the link.
(Other definitions for lipstick that I've seen before include "Colour applied to the mouth" , "Type of paint" , "Item of face makeup" , "girl may have to face" , "Type of cosmetic" .)