Independent has a car, no moustache and doesn't cheat (10)

I believe the answer is:

autonomous

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'independent' is the definition.
(I know that independent can be written as autonomous)

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

(Other definitions for autonomous that I've seen before include "Independent" , "Self-governing" .)

I've seen this clue in the Sydney Morning Herald.

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