Socialist leader threw Right over (6)

I believe the answer is:

castro

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'socialist' is the definition.
(I know that Castro is a socialist)

'threw right over' is the wordplay.
'threw' becomes 'cast' (I've seen this in another clue).
'right' becomes 'r' (common abbreviation).
'over' becomes 'o' (cricket abbreviation).
'cast'+'r'+'o'='CASTRO'

'leader' 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 castro that I've seen before include "Cuban president (past and present)" , "revolutionary leader" , "Man of Cuba" , "Latin American dictator" , "Fidel or Raul" .)

I've seen this clue in The Telegraph.

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