Garden tool cut off the top of footwear (3)

I believe the answer is:

hoe

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'garden tool cut' is the definition.
'hoe' can be an answer for 'garden' (to garden could mean to hoe). I am not certain of the 'tool cut' bit.

'the top of footwear' is the wordplay.
'the top of' means to remove the first letter (I've seen 'top' mean this).
'footwear' becomes 'shoe' (shoe is a kind of footwear).
'shoe' with its initial letter removed is 'HOE'.

'off' is the link.

Can you help me to learn more?

(Other definitions for hoe that I've seen before include "Tool for loosening soil and scraping up weeds" , "Plymouth - -" , "Tool; promontory" , "Garden implement" , "Weeding implement" .)

I've seen this clue in The Times.

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