Tweaks to improve grand airs (4-5)

I believe the answer is:

fine-tunes

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

'tweaks' is the definition.
(I've seen this in another clue)

'improve grand airs' is the wordplay.
'improve grand' becomes 'fine' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'airs' becomes 'tunes' ('tune' can be a synonym of 'air').
'fine'+'tunes'='FINE-TUNES'

'to' is the link.

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I've seen this clue in The Times.

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