A case to be made for the car — stick with it? (7)

I believe the answer is:

gearbox

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'a case' is the definition.
(gearbox is a kind of case)

I don't understand the remainder of the clue.

(Other definitions for gearbox that I've seen before include "Car transmission part" , "Car component" , "Part of vehicle transmission" , "Transmission in a motor vehicle" , "Metal casing in engine" .)

I've seen this clue in The Times.

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