Red lint making attachment for climbers? (7)

I believe the answer is:

tendril

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'attachment for climbers?' is the definition.
I can't judge whether this definition defines the answer.

'red lint making' is the wordplay.
'making' is an anagram indicator.
'red'+'lint'='redlint'
'redlint' anagrammed gives 'TENDRIL'.

Can you help me to learn more?

(Other definitions for tendril that I've seen before include "Feature of plant" , "Grasping part of plant" , "Climbing plant's means of support" , "Climbing plant's grasper" , "Threadlike extension of a plant" .)

I've seen this clue in The Sun.

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