A cleaning implement comprises a modified open-cell foam with a density in the range from about 5 to about 1,000 kg/m3 and with an average pore diameter in the range from about 1 μm to about 1 mm, comprising an amount in the range from about 1 to about 2,500% by weight, based on the weight of the unmodified open-cell foam, of at least about one water-insoluble polymer (b), selected from polystyrene, styrene copolymers, polybutadiene, butadiene copolymers, polyvinylesters, polyvinylethers, copolymers from (meth)acrylic acid with at least one (meth)acrylate, and polyurethanes, with the proviso that styrene-acrylonitrile-C1-C10-alkyl (meth)acrylate terpolymers, styrene-butadiene-n-butyl acrylate terpolymers, and styrene-maleic anhydride copolymers are excluded.