Evasive conclusion of article on cathedral city (4)
I believe the answer is:
eely
'evasive' is the definition.
(slippery like an eel)
'conclusion of article on cathedral city' is the wordplay.
'conclusion of' indicates one should take the final letters.
'on' means one lot of letters goes inside another.
'cathedral city' becomes 'ely' (English city with a cathedral).
The final letter of 'article' is 'e'.
'e' inserted within 'ely' is 'EELY'.
(Other definitions for eely that I've seen before include "Difficult to get hold of" , "Like a slippery catch" .)