Brahms regularly entertaining ill-mannered coach (8)

I believe the answer is:

brougham

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'brahms regularly entertaining ill-mannered coach' is the definition.
I can't judge whether this defines the answer.

'brahms regularly entertaining ill' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'entertaining' means one lot of letters goes inside another.
'ill' becomes 'rough' (I've seen this before**).
The alternating letters of 'brahms' are 'bam'.
'bam' placed around 'rough' is 'BROUGHAM'.

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

I've seen this clue in The Telegraph.

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