Lay off child who was Home Alone in busy city (5)

I believe the answer is:

macau

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'lay off child who was home alone in busy city' is the definition.
The definition suggests a singular noun which matches the answer.

This is all the clue.

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(Other definitions for macau that I've seen before include "somewhere in China" , "Small peninsula in China, a Portuguese territory until 1999" , "region of China" , "Part of China" , "SW of 24 [SHANGHAI]" .)

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