Most of family group daughter covered (4)
I believe the answer is:
clad
'covered' is the definition.
('clothe' can be a synonym of 'cover')
'most of family group daughter' is the wordplay.
'most of' means to remove the last letter.
'family group' becomes 'clan' (I've seen this in another clue).
'daughter' becomes 'd' (genealogical abbreviation).
'clan' with its final letter taken away is 'cla'.
'cla'+'d'='CLAD'
(Other definitions for clad that I've seen before include "Decked" , "in dress perhaps" , "Attired" , "Wearing" , "Invested" .)