Beaune, not the ultimate in wine, drunk with date and flowing water (6)

I believe the answer is:

danube

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'water' is the definition.
(Danube is an example)

I don't understand the remainder of the clue.

(Other definitions for danube that I've seen before include "South European river" , "River flowing from Black Forest to Black Sea" , "Viennese river" , "It's blue according to the song" , "River flowing through Belgrade, Budapest and Vienna" .)

I've seen this clue in The Guardian.

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