Nut goes up new flue like air (7)

I believe the answer is:

tuneful

I'm a little stuck... Click here to teach me more about this clue!

'air' is the definition.
Both the answer and definition are adjectives. Maybe there's a link between them I don't understand?

'nut goes up new flue' is the wordplay.
'goes up' says the letters should be written in reverse.
'new' indicates an anagram.
'nut' backwards is 'tun'.
'flue' is an anagram of 'eful'.
'tun'+'eful'='TUNEFUL'

'like' is the link.

Can you help me to learn more?

(Other definitions for tuneful that I've seen before include "Melodious" , "Harmonious" , "Euphonious" , "Euphonic" , "Melodic" .)

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

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