Crossword Genius

Youngster going over a sugar-producing island (4)

Ross

I believe the answer is:

cuba

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'island' is the definition.
(Cuba is an example)

'youngster going over a' is the wordplay.
'youngster' becomes 'cub' (young bear).
'going over' says to put letters next to each other.
'cub'+'a'='CUBA'

'sugar-producing' is the link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for cuba that I've seen before include "Its capital is Havana" , "Guantanamo Bay island" , "Largest Caribbean island" , "Fidel's place" , "Island S. of Florida" .)

I've seen this clue in The Times.
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