Crossword Genius

Witchy Woman roughly cut on Eagles' debut (5)

Ross

I believe the answer is:

circe

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'witchy woman' is the definition.
The definition suggests a singular noun which matches the answer.

'roughly cut on eagles' debut' is the wordplay.
'roughly' becomes 'circa' (I've seen this before).
'cut' means to remove the last letter.
'on' means one lot of letters go next to another.
'debut' says to take the initial letters.
The initial letter of 'eagles' is 'e'.
'circa' with its last letter removed is 'circ'.
'circ'+'e'='CIRCE'

Can you help me to learn more?

(Other definitions for circe that I've seen before include "Greek sorceress who turned men into swine" , "Enchanting female" , "Odyssey sorceress" , "Enchantress visited by Odysseus" , "Greek sorceress who detained Odysseus on her island" .)

I've seen this clue in The Independent.
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