Garment’s capital, needing turning up on daughter (6)
I believe the answer is:
tabard
'garment's' is the definition.
(tabard is a kind of garment)
'capital needing turning up on daughter' is the wordplay.
'capital' becomes 'Rabat' (capital of Morocco).
'needing turning up' says the letters should be written in reverse.
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'daughter' becomes 'd' (genealogical abbreviation).
'rabat' in reverse letter order is 'tabar'.
'tabar'+'d'='TABARD'
(Other definitions for tabard that I've seen before include "Knight's outer tunic" , "Clobber" , "Short tunic, open at the sides" , "Sleeveless jerkin" , "Inn where pilgrims met" .)