You may get a lift following introduction to classical composer (6)

I believe the answer is:

chopin

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'composer' is the definition.
(Frederic Chopin)

I don't understand the remainder of the clue.

(Other definitions for chopin that I've seen before include "Polish composer who had affair with George Sand" , "Frederic . . . . . ., great 19th century Polish composer" , "Polish pianist-composer" , "Frederic . . . . . ., great Polish composer-pianist" , "Composer of "Tristesse"" .)

I've seen this clue in The Independent.

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