Corporal punishment to stay (5)
I believe the answer is:
stick
I believe this is a double definition.
'corporal punishment' is the first definition.
(corporal punishment administered with a stick )
'stay' is the second definition.
('stick' can be a synonym of 'stay')
'to' is the link.
(Other definitions for stick that I've seen before include "School punishment once" , "Switch < put up" , "Glue; piece of wood" , "Cane; criticism" , "Flak - cling" .)