Familiar expert entertaining charmingly old-fashioned daughter (10)
I believe the answer is:
acquainted
'familiar' is the definition.
('acquainted' can be similar in meaning to 'familiar')
'expert entertaining charmingly old-fashioned daughter' is the wordplay.
'expert' becomes 'ace' (ace is a kind of expert).
'entertaining' indicates putting letters inside.
'charmingly old-fashioned' becomes 'quaint' (I've seen this before).
'daughter' becomes 'd'.
'ace' going around 'quaint' is 'acquainte'.
'acquainte'+'d'='ACQUAINTED'
(Other definitions for acquainted that I've seen before include "on good terms" , "Made aware of" , "Notified" , "Familiar (with)" , "knowing a little" .)