Crossword Genius

Writer's essay — Milking in a New Way (8,4)

Ross

I believe the answer is:

kingsley amis

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'writer's' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'essay milking in a new way' is the wordplay.
'in a new way' indicates anagramming the letters.
'essay'+'milking'='essaymilking'
'essaymilking' anagrammed gives 'KINGSLEY AMIS'.

Can you help me to learn more?

(Other definitions for kingsley amis that I've seen before include ""Lucky Jim" author" , "novelist" .)

I've seen this clue in The Times.
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