Argument about unfinished hat and shoe (8)

I believe the answer is:

stiletto

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

'shoe' is the definition.
(type of shoe)

'argument about unfinished hat' is the wordplay.
'argument' becomes 'set to' (set-to can mean a fight or argument).
'about' is an insertion indicator.
'unfinished hat' becomes 'til' (I am not sure about this - if you are sure you should believe this answer much more).
'setto' enclosing 'til' is 'STILETTO'.

'and' acts as a link.

Can you help me to learn more?

(Other definitions for stiletto that I've seen before include "Narrow-bladed dagger" , "Type of shoe" , "Possible cause of stabbing pains" , "Dagger; tapered heel" , "Small dagger with a tapered blade" .)

I've seen this clue in The Independent.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.