Arts subject, in brief, to include old Anglo-American poet (5)

I believe the answer is:

eliot

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'poet' is the definition.
(TS Eliot)

I cannot understand how the remainder of the clue works.

(Other definitions for eliot that I've seen before include "Female novelist" , "Practical Cats author" , "T.S. or George?" , "T S . . . . . wrote ''The Waste Land''" , "thin material rejected" .)

I've seen this clue in The Independent.

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