Minor points relating to fish-hooks (5)

I believe the answer is:

barbs

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'minor points' is the definition.
'barbs' can be an answer for 'points' (barb is a kind of point). I am unsure of the 'minor' bit.

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for barbs that I've seen before include "Hurtful remarks" , "Thorns or pointed remarks" , "Sedatives" .)

I've seen this clue in the Evening Standard.

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