Edward oddly missing out as member of family (3)
I believe the answer is:
dad
'member of family' is the definition.
'edward oddly missing out' is the wordplay.
'oddly missing out' indicates alternate letters (letters in odd-numbered positions are removed).
The alternating letters of 'edward' are 'DAD'.
'as' acts as a link.
(Other definitions for dad that I've seen before include "Old man" , "Pop, pater" , "Relation" , "Popular and informal father" , "Mum's mate" .)