Pub always admits old women? Not at all (2,2,3)
I believe the answer is:
in no way
'not at all' is the definition.
(synonyms)
'pub always admits old women?' is the wordplay.
'pub' becomes 'inn' (an inn is a type of pub).
'always' becomes 'ay' (archaic term for 'always').
'admits' means one lot of letters goes inside another (to admit is to allow in).
'old' becomes 'o' (abbreviation as in OT - Old Testament).
'women?' becomes 'w' (standard abbreviation).
'inn'+'ay'='innay'
'o'+'w'='ow'
'innay' going around 'ow' is 'IN NO WAY'.
(Another definition for in no way that I've seen is " Not at all".)