Bring out edition on united children, free at last (5)

I believe the answer is:

educe

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

'edition on united children free at last' is the wordplay.
'edition' becomes 'ed' (abbreviation).
'on united children' becomes 'uc' (I can't justify this - if you can you should believe this answer much more).
'at last' indicates one should take the final letters.
The last letter of 'free' is 'e'.
'ed'+'uc'+'e'='EDUCE'

Can you help me to learn more?

(Other definitions for educe that I've seen before include "Draw out, elicit" , "Infer" , "Bring out, develop" , "Draw forth" , "Extract" .)

I've seen this clue in the Sydney Morning Herald.

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