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Neem oil does not clean anything on its own; it is an oil, and it goes where oils go in a house: into polish, onto leather and into soap. These are the household jobs it turns up in.
Furniture polish
A traditional beeswax polish is one part beeswax melted into three or four parts oil. Neem can be part of that oil, at one part in ten, for its scent and its dark, warm finish. Melt the wax into a light carrier, take it off the heat, stir in the neem, and let it set in a tin. Rub a little into bare or waxed wood and buff. Try an offcut first; neem darkens pale timber.
Leather
The same balm softens boots, bags and old chairs. Use sparingly, buff well, and test on an underside first because neem darkens light leather.
Household soap
A cold-process bar with neem at 5 to 20 per cent of the oil weight makes a hard, long-lasting household bar with a steady lather and the earthy neem smell. The recipe notes are on our what is neem oil used for? page.
Carpets and mattresses
We are asked about these and the answer is: keep the oil off them. Neem is a thick oil that stains fabric and is very hard to get back out. A carpet or a mattress is a job for a fabric cleaner, not an oil.