Badly cut, see? (8)
I believe the answer is:
severely
'badly' is the definition.
(I know that badly can be written as severely)
'cut see?' is the wordplay.
'cut' becomes 'sever' (to sever is to cut or split).
'see?' becomes 'Ely' (see is a place with a cathedral - e.g. Ely).
'sever'+'ely'='SEVERELY'
(Other definitions for severely that I've seen before include "In rigorous, exacting manner" , "Harshly, gravely" , "Intensely; harshly" , "With sternness" , "In a stern manner" .)