Suggest the Brexiteer mindset? (8)

I believe the answer is:

propound

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'suggest' is the definition.
(propounding is a kind of suggesting)

I can't explain the rest of the clue.

(Other definitions for propound that I've seen before include "Suggest for consideration" , "Offer for consideration" , "Argue for (idea)" , "Put the case" , "Advance" .)

I've seen this clue in The Independent.

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