Sharp end of one's argument? (3,5)

I believe the answer is:

the point

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'sharp end' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps there's a link between them I don't understand?

'one's argument?' is the wordplay.
'one' becomes 'the' (both can introduce a definite example of something).
'argument?' becomes 'point' (I've seen this in another clue).
'the'+'point'='THE POINT'

'of' is the link.

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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