Extravagant trip taken by air (4-5)

I believe the answer is:

high-flown

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'extravagant' is the definition.
(I've seen this before)

'trip taken by air' is the wordplay.
'trip' becomes 'high' (I've seen this before).
'taken by air' becomes 'flown' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'high'+'flown'='HIGH-FLOWN'

Can you help me to learn more?

(Other definitions for high-flown that I've seen before include "Extravagant or pretentious in conception or intention" , "Rhetorically extravagant" .)

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

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