Stop little Dorothy becoming famous actress (6)

I believe the answer is:

bardot

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'famous actress' is the definition.
'bardot' can be an answer for 'actress' (I've seen this before). I'm unsure of the 'famous' bit.

'stop little dorothy' is the wordplay.
'stop' becomes 'bar' (bar can mean to stop or prevent).
'little dorothy' becomes 'dot' (nickname for Dorothy).
'bar'+'dot'='BARDOT'

'becoming' is the link.

Can you help me to learn more?

(Other definitions for bardot that I've seen before include "sex symbol" , "Brigitte - - , 1950s sex kitten" , "actress" .)

I've seen this clue in The Irish Times.

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