A miniature plane, perhaps (5,4)

I believe the answer is:

dwarf tree

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'a miniature plane perhaps' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'miniature plane perhaps' is the wordplay.
'miniature' becomes 'dwarf' (I can't explain this - if you can you should believe this answer much more).
'plane perhaps' becomes 'tree' (I've seen this in other clues).
'dwarf'+'tree'='DWARF TREE'

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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