Implement right inside cloth (6)

I believe the answer is:
trowel
'implement' is the definition.
(trowel is a kind of implement)
'right inside cloth' is the wordplay.
I cannot really see how this works, but
'right' could be 'r' (abbreviation) and 'r' is present in the answer.
'cloth' could be 'towel' (towel is a kind of cloth) and 'towel' is found in the leftover letters.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for trowel that I've seen before include "Small spade" , "Mortar-spreading tool" , "Spreading implement" , "Small garden hand-tool" , "Plastering tool" .)