Family member without a day free (6)
I believe the answer is:
untied
'free' is the definition.
(synonyms)
'family member without a day' is the wordplay.
'family member' becomes 'auntie' (I've seen this before).
'without' indicates named letters should be taken away.
'day' becomes 'd' (abbreviation for day).
'auntie' with 'a' taken away is 'untie'.
'untie'+'d'='UNTIED'
(Other definitions for untied that I've seen before include "Picked loose" , "Undid the knot" , "Unfastened, unlaced" , "Disconnected" , "Unfastened, knot say" .)