Bard’s work stirs writer primarily active around district (14)

I believe the answer is:

shakespeareana

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'stirs writer primarily active around district' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'bard's work' is the wordplay.
'bard' becomes 'shakespeare' (I've seen this before).
'work' becomes 'ana' (I can't explain this - if you can you should believe this answer much more).
'shakespeare'+'ana'='SHAKESPEAREANA'

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I've seen this clue in The Times.

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