Rotter I ring to return luxury car (8)

I believe the answer is:

cadillac

I'm a little stuck... Click here to teach me more about this clue!

'luxury car' is the definition.
'cadillac' can be an answer for 'car' (I've seen this before). I'm unsure of the 'luxury' bit.

'rotter i ring to return' is the wordplay.
'rotter' becomes 'cad' (I've seen this in other clues).
'ring' becomes 'call' (synonyms).
'to return' says the letters should be written backwards.
'call' reversed gives 'llac'.
'cad'+'i'+'llac'='CADILLAC'

Can you help me to learn more?

(Other definitions for cadillac that I've seen before include "Luxury US car" , "Make acid call to car company" , "Luxury US automobile" , "American brand of luxury car" , "Car maker" .)

I've seen this clue in The Times.

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