Free ale left out? Little advertising needed! (7)

I believe the answer is:

leaflet

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'little advertising needed' is the definition.
I can't judge whether this defines the answer.

'free ale left out?' is the wordplay.
'free' is an anagram indicator.
'out?' is an anagram indicator (out can mean wrong or inaccurate).
'ale' is an anagram of 'lea'.
'left' with letters rearranged gives 'flet'.
'lea'+'flet'='LEAFLET'

Can you help me to learn more?

(Other definitions for leaflet that I've seen before include "Distribute small circulars" , "very little greenery" , "small part of plant" , "Printed sheet, flyer" , "A pamphlet giving information" .)

I've seen this clue in The Sun.

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