Composer in Cuba challenged (4)

I believe the answer is:

bach

'composer' is the definition.
(Johann Sebastian Bach)

'in cuba challenged' is the wordplay.
'in' says the answer is hidden in the clue.
'BACH' is hidden within 'cuba challenged'.

(Other definitions for bach that I've seen before include "Name of composing family" , "musician" , "JS --, baroque composer" , "J. S. --, baroque composer" , "Johann Sebastian . . . ., great 18th century German composer" .)

I've seen this clue in The Sun.

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