Repaired spit’s sharp points (4)

I believe the answer is:

tips

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'sharp points' is the definition.
'tips' can be an answer for 'points' (tip is a kind of point). I am unsure of the 'sharp' bit.

'repaired spit's' is the wordplay.
'repaired' indicates anagramming the letters.
'spit' with letters rearranged gives 'TIPS'.

Can you help me to learn more?

(Other definitions for tips that I've seen before include "Ends" , "Useful hints" , "leavings in restaurant?" , "Areas for dumping waste" , "Turns over" .)

I've seen this clue in The Hindu.

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