Cuban name thrown right out (6)

I believe the answer is:

castro

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'cuban name' is the definition.
The definition suggests a singular noun which matches the answer.

'thrown right out' is the wordplay.
'thrown' becomes 'cast' (I've seen this before).
'right out' becomes 'ro' (this might be a standard abbreviation of which I'm unaware).
'cast'+'ro'='CASTRO'

Can you help me to learn more?

(Other definitions for castro that I've seen before include "Fidel or Ral" , "revolutionary leader" , "Fidel . . . . . .,retired Cuban leader" , "Actors in Cuba" , "Latin American dictator" .)

I've seen this clue in The Hindu.

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