Cut a slithery arrangement (9)

I believe the answer is:

hairstyle

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'arrangement' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

'cut a slithery' is the wordplay.
'cut' is an anagram indicator (cut can mean mixed).
'a'+'slithery'='aslithery'
'aslithery' anagrammed gives 'HAIRSTYLE'.

Can you help me to learn more?

(Other definitions for hairstyle that I've seen before include "Pageboy or bob, say" , "Design of crowning glory" , "DA possibly" .)

I've seen this clue in The Daily Express.

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