1) Aid in tidying up the house 2) Broom alternative 3) Cleaning aid 4) Dry mop 5) Dust mop 6) Floor cleaner 7) Fluffy floor-cleaning tool 8) Housecleaning aid 9) Housecleaning item 10) Swab 11) Swob Found on https://www.crosswordclues.com/clue/dustmop