Crossword Genius

From airline, gift for primate (6)

Ross

I believe the answer is:

baboon

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

'for primate' is the definition.
(baboon is a kind of primate)

'from airline gift' is the wordplay.
I cannot quite see how this works, but
'from' could be 'o' (I've seen this in other clues) and 'o' is located in the answer.
'airline' could be 'ba' (British Airways) and 'ba' is present in the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for baboon that I've seen before include "animal" , "clumsy uncouth person" , "Large long-nosed Arabian or African monkey" , "Large long-nosed African or Asian monkey" , "Uncouth type" .)

I've seen this clue in The Guardian.
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