WordNet records no synonym and no antonym for housecleaning. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
(figurative) the act of reforming by the removal of unwanted personnel or practices or conditions
“more housecleaning is in store at other accounting firms”
the act of cleaning the rooms and furnishings of a house
“efficient housecleaning should proceed one room at a time”
Synonyms, antonyms and the broader and narrower relations for housecleaning come from Princeton University’s WordNet. Full sources and licences.