Horse-drawn carriage cleaner would you say? (8)

I believe the answer is:

brougham

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'horse-drawn carriage' is the definition.
(I've seen this before)

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

(Other definitions for brougham that I've seen before include "Old carriage" , "Four-wheeled horse-drawn carriage" , "Horse-drawn 19 down" .)

I've seen this clue in The Telegraph.

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