Admitted to being possessed (5)
I believe the answer is:
owned
I believe this is a double definition.
'admitted' is the first definition.
(own can mean to admit or acknowledge)
'being possessed' is the second definition.
(I've seen this before)
'to' is the link.
(Other definitions for owned that I've seen before include "Endow (anag)" , "Acknowledged" , "made a confession" , "fully paid off?" , "Possessed; admitted" .)