A publication that could well be stopped! (5)

I believe the answer is:

organ

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'a publication' is the definition.
(I know that organ is a type of periodical)

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

Can you help me to learn more?

(Other definitions for organ that I've seen before include "Instrument - heart, for example" , "Large musical instrument often heard in church" , "Brain, for example - instrument" , "House journal" , "Air-powered instrument" .)

I've seen this clue in The Irish News.

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