Appease father whenever in outskirts of city (6)
I believe the answer is:
pacify
'appease' is the definition.
(I know that appease can be written as pacify)
'father whenever in outskirts of city' is the wordplay.
'father' becomes 'pa' (pa can mean dad or father).
'whenever' becomes 'if' (I've seen this in other clues).
'in' means one lot of letters goes inside another.
'outskirts of' means to remove the middle letters (only letters on the outskirts).
'city' with its centre removed is 'cy'.
'if' put into 'cy' is 'cify'.
'pa'+'cify'='PACIFY'
(Other definitions for pacify that I've seen before include "Mollify, appease" , "Make calm, appease" , "Bring peace to (a place)" , "Make calm, soothe" , "Quell the anger of" .)