Baby's face-covering game (8)
I believe the answer is:
peekaboo
'baby's face-covering game' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for peekaboo that I've seen before include "(To a child) "I can see you!"" , "Childrens hiding game" , "Infants' hiding-and reappearing game" , "minor revelations" , "Peering-through-fingers game" .)