A favourite car in business (6)

I believe the answer is:

minion

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'a favourite' is the definition.

'car in business' is the wordplay.
'car' becomes 'mini' (Mini Cooper).
'in business' becomes 'on' (I can't justify this - if you can you should give a lot more credence to this answer).
'mini'+'on'='MINION'

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(Other definitions for minion that I've seen before include "An archaic servant or inferior (6)" , "Fawning servant" , "flunkey" , "Lackey or subordinate assistant" , "Servile follower" .)

I've seen this clue in The Times.

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