Just the place for the work of art (6)

I believe the answer is:

studio

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

'work of art' is the definition.
'studio' can be an answer for 'work' (studio is a kind of work). I'm not certain of the 'of art' bit.

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for studio that I've seen before include "Centre for movie-making" , "An artist may work in this room" , "MGM, for example" , "Where an artist works" , "Artist's place of work" .)

I've seen this clue in the Evening Standard.

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