Muse tried out for Greek sculptor (9)

I believe the answer is:

demetrius

I'm a little stuck... Click here to teach me more about this clue!

'greek sculptor' is the definition.
The definition suggests a singular noun which matches the answer.

'muse tried out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'muse'+'tried'='musetried'
'musetried' with letters rearranged gives 'DEMETRIUS'.

'for' is the link.

Can you help me to learn more?

(Other definitions for demetrius that I've seen before include "part of Shakespeare" , "Actor's character" , "Athenian lover (AMND)" .)

I've seen this clue in the Sydney Morning Herald.

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