Crossword Genius

Bring up supplying restriction for old airline in warm weather (8)

Ross

I believe the answer is:

heatwave

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

'bring up supplying restriction' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'old airline in warm weather' is the wordplay.
'old airline' becomes 'twa' (I've seen this in another clue).
'in' means one lot of letters goes inside another.
'warm weather' becomes 'heave' (I can't justify this - if you can you should believe this answer much more).
'twa' going inside 'heave' is 'HEATWAVE'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for heatwave that I've seen before include "Torrid time" , "unusually warm spell" , "Torrid spell" .)

I've seen this clue in The Independent.
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