Draw out fire-breathing monster (6)

I believe the answer is:

dragon

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'fire-breathing monster' is the definition.
(I've seen this before)

'draw out' is the wordplay.
'draw' becomes 'drag' (dragging is a kind of drawing).
'out' becomes 'on' (I can't explain this - if you can you should believe this answer much more).
'drag'+'on'='DRAGON'

Can you help me to learn more?

(Other definitions for dragon that I've seen before include "Fire-breathing creature of myth" , "Fire-breathing, winged mythical monster" , "Fail tediously to conclude" , "It's red on the Welsh flag" , "battleaxe" .)

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

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