Spade right inside cloth (6)

I believe the answer is:

trowel

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'spade right inside cloth' is the definition.
'trowel' can be an answer for 'spade' (I have seen 'Small spade ' mean 'trowel' so perhaps 'spade' could also mean 'trowel'). I'm unsure of the 'right inside cloth' bit.

'spade right inside cloth' is the wordplay.
'spade right' becomes 'trow' (I can't justify this - if you can you should believe this answer much more).
'inside' indicates the central letters.
'cloth' becomes 'felt' (felt is a kind of cloth).
The middle letters of 'felt' are 'el'.
'trow'+'el'='TROWEL'

Can you help me to learn more?

(Other definitions for trowel that I've seen before include "Hand tool for scooping or spreading" , "Plastering tool" , "Spreading implement" , "Brickie holds it" , "One spreads" .)

I've seen this clue in The Mirror.

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