Tool, visibly sore, covered in soap (8)

I believe the answer is:

lathered

'covered in soap' is the definition.

'tool visibly sore' is the wordplay.
'tool' becomes 'lathe'.
'visibly sore' becomes 'red'.
'lathe'+'red'='LATHERED'

(Other definitions for lathered that I've seen before include "flogged" , "Created a froth" , "Soaped as for shaving" .)

I've seen this clue in The Guardian.

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