Film company diligent American leaves (6)

I believe the answer is:

studio

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'film company' is the definition.
(as in a film studio)

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

(Other definitions for studio that I've seen before include "Film company - artist's atelier" , "Centre for movie-making" , "Artist's place of work" , "Artist's workroom - film company" , "An artist may work in this room" .)

I've seen this clue in The Telegraph.

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