Not the weaver bird but a towel maker (5)

I believe the answer is:

owlet

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

'not the weaver bird' is the definition.
I can't judge whether this definition defines the answer.

'a towel maker' is the wordplay.
'maker' is an anagram indicator (can make this from the letters).
'towel' with letters rearranged gives 'OWLET'.

'but' is the link.

Can you help me to learn more?

(Other definitions for owlet that I've seen before include "Small hooter" , "Junior member of parliament" , "Baby nocturnal raptor" , "Offspring of the wise one?" , "Young hooter" .)

I've seen this clue in the Evening Standard.

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