A whole car, or just the bumper (6)

I believe the answer is:

dodgem

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'a whole car' is the definition.
'dodgem' can be an answer for 'car' (I've seen this before). I'm not certain of the 'a whole' bit.

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for dodgem that I've seen before include "Car used in fairground" , "Fairground amusement vehicle" , "ride - with 14a" , "Electric car" , "Bumper car" .)

I've seen this clue in the Evening Standard.

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