Something you might wash with is soap (7)

I believe the answer is:

flannel

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'is soap' is the definition.
(I have seen 'Soft soap ' mean 'flannel' so perhaps 'soap' could also mean 'flannel')

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for flannel that I've seen before include "hedge" , "Fabric; bland talk" , "type of fabric" , "Soft-soap" , "Woollen cloth or soft soap" .)

I've seen this clue in The Independent.

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