Dress has German won over (4)
I believe the answer is:
gown
'dress' is the definition.
(gown is a kind of dress)
'german won over' is the wordplay.
'german' becomes 'g' (abbreviation).
'over' indicates anagramming the letters.
'won' anagrammed gives 'own'.
'g'+'own'='GOWN'
'has' is the link.
(Other definitions for gown that I've seen before include "Loose flowing garment for woman or judge" , "Dress for formal occasions" , "Formal frock, hospital garb and ceremonial dress" , "Academic or formal wear" , "Academic (or evening) wear" .)