Detest area with house in the outskirts of Bognor (5)
I believe the answer is:
abhor
'detest' is the definition.
(abhorring is a kind of detesting)
'area with house in the outskirts of bognor' is the wordplay.
'area' becomes 'a' (maths abbreviation).
'with' says to put letters next to each other.
'house' becomes 'ho' (abbreviation for house).
'in the' means one lot of letters goes inside another.
'outskirts of' suggests removing the centre.
'bognor' with its centre removed is 'br'.
'ho' going into 'br' is 'bhor'.
'a'+'bhor'='ABHOR'
(Other definitions for abhor that I've seen before include "Reject" , "can't stand" , "Can't bear" , "cannot stand" , "Recoil from" .)