Drive, reversing that French brand of car (6)
I believe the answer is:
marque
'brand of car' is the definition.
(I've seen this before)
'drive reversing that french' is the wordplay.
'drive' becomes 'ram' ('ram' can be a synonym of 'drive').
'reversing' shows that the letters should be reversed in order.
'that french' becomes 'que' (French for 'that').
'ram' backwards is 'mar'.
'mar'+'que'='MARQUE'
(Other definitions for marque that I've seen before include "Badge" , "Make most of large tent" , "Brand name" , "Brand of car" , "Make of car" .)