Instrument designed for cutting? Top shaved (4)

I believe the answer is:

harp

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'instrument' is the definition.
(I know that Harp is a instrument)

'designed for cutting? top shaved' is the wordplay.
'designed for cutting?' becomes 'har' (I am not sure about this - if you are sure you should believe this answer much more).
'top' becomes 'alpha' (I've seen this before).
'shaved' indicates the central letters.
The central letter of 'alpha' is 'p'.
'har'+'p'='HARP'

Can you help me to learn more?

(Other definitions for harp that I've seen before include "Traditional Gaelic musical instrument" , "Chordophone" , "Heavenly instrument?" , "Keep on about" , "Instrument for angel" .)

I've seen this clue in The Sun.

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