Dog and Duck: name seen up among foremost of Soho taverns (4)

I believe the answer is:

snot

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'dog' is the definition.
(I've seen this before)

I don't understand the remainder of the clue.

(Other definitions for snot that I've seen before include "Dog" , "Mucus" , "Contemptible type" .)

I've seen this clue in The Times and The Sunday Times.

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