Fine about European family member (5)
I believe the answer is:
niece
'family member' is the definition.
(I know that family member can be written as niece)
'fine about european' is the wordplay.
'fine' becomes 'nice' (I've seen this in another clue).
'about' means one lot of letters goes inside another.
'european' becomes 'E' (abbreviation e.g. EU).
'nice' placed around 'e' is 'NIECE'.
(Other definitions for niece that I've seen before include "Brother's daughter" , "Family relative" , "Family relation" , "Brother's girl" , "Kinswoman" .)