Delight shown by wife over permit (6)
I believe the answer is:
wallow
'delight' is the definition.
(I know that wallow is a type of delight)
'wife over permit' is the wordplay.
'wife' becomes 'w'.
'over' means one lot of letters go next to another.
'permit' becomes 'allow' (synonyms).
'w'+'allow'='WALLOW'
'shown by' is the link.
(Other definitions for wallow that I've seen before include "Lie about in mud or water" , "Indulge excessively, in self-pity perhaps" , "Roll around as in mud" , "Luxuriate (in mud, muck)" , "Roll about as in water or mud" .)