Improperly care for daughter with wet scrubbing cloth, essentially (7)

I believe the answer is:

mistend

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'daughter with wet scrubbing cloth essentially' is the definition.
I know nothing about this answer so I can't tell whether this works.

'improperly care' is the wordplay.
'improperly' becomes 'mis' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'care' becomes 'tend' (I've seen this in other clues).
'mis'+'tend'='MISTEND'

'for' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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