Flows out of prose from Prosperous (5)

I believe the answer is:

pours

'flows' is the definition.
(pouring is a kind of flowing)

'out of prose from prosperous' is the wordplay.
'out of' is an anagram indicator.
'from' indicates named letters should be taken away.
'prosperous' with 'prose' taken out is 'prous'.
'prous' is an anagram of 'POURS'.

(Another definition for pours that I've seen is " Causes to flow".)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

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