Originated, for instance, during Prohibition (5)

I believe the answer is:

began

'originated' is the definition.
(I've seen this in another clue)

'for instance during prohibition' is the wordplay.
'for instance' becomes 'eg' (short for 'exempli gratia', 'for example' in Latin).
'during' means one lot of letters goes inside another.
'prohibition' becomes 'ban' (ban is a kind of prohibition).
'eg' placed within 'ban' is 'BEGAN'.

(Another definition for began that I've seen is " Commenced, started".)

I've seen this clue in the Evening Standard.

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