Stopped woke Republican getting established (4,2,4)

I believe the answer is:

came to rest

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'stopped woke republican getting established' is the definition.
I can't judge whether this defines the answer.

'woke republican getting established' is the wordplay.
'woke' becomes 'cameto' (I can't justify this - if you can you should believe this answer much more).
'republican' becomes 'R' (abbreviation in US politics).
'getting' says to put letters next to each other.
'established' becomes 'est' (abbreviation).
'cameto'+'r'+'est'='CAME TO REST'

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I've seen this clue in The Times.

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