Deeply carved in a cathedral (7)
I believe the answer is:
acutely
'deeply' is the definition.
(thesaurus)
'carved in a cathedral' is the wordplay.
'carved' becomes 'cut'.
'in' means one lot of letters goes inside another.
'cathedral' becomes 'ely' (cathedral city in Cambridgeshire).
'a'+'ely'='aely'
'cut' going inside 'aely' is 'ACUTELY'.
(Other definitions for acutely that I've seen before include "Pointedly" , "with severity" , "Critically" , "Sharply" , "Extremely" .)