A name written on the car chart (9)
I believe the answer is:
autograph
'a name' is the definition.
(autograph is a kind of name)
'written on the car chart' is the wordplay.
'written on' means one lot of letters go next to another.
'the car' becomes 'auto' (synonyms).
'chart' becomes 'graph' (I've seen this before).
'auto'+'graph' is 'AUTOGRAPH'.
(Other definitions for autograph that I've seen before include "(Celebrity's) signature" , "Famous person's signature" , "A signature given as souvenir" , "(Celebrity) signature" , "Handwriting" .)