Do up home after power cut (4)

I believe the answer is:

lace

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This clue could be a double definition.

'do up' is the first definition.
(as in doing up your shoelaces)

'home after power cut' is the second definition.
'lace' can be an answer for 'cut' (thesaurus). I'm not sure about the 'home after power' bit.

Can you help me to learn more?

(Other definitions for lace that I've seen before include "Shoe cord" , "Tear" , "Fine open fabric" , "Shoe string" , "Delicate material" .)

I've seen this clue in The Guardian.

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