Entertain a Greek goddess (5)

I believe the answer is:

amuse

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

'entertain' is the definition.
(I know this)

'a greek goddess' is the wordplay.
'greek goddess' becomes 'muse' (I've seen this in other clues. I am not sure about the 'greek' bit.).
'a'+'muse'='AMUSE'

Can you help me to learn more?

(Other definitions for amuse that I've seen before include "Cause to laugh or smile" , "Tickle" , "Delight" , "Pleasantly occupy" , "Keep someone entertained" .)

I've seen this clue in The Guardian.

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