The subject of the present invention is a water-insoluble cyclodextrin polycondensate which can be obtained by esterification/polycondensation reaction: A) of at least one cyclodextrin and B) of at least one saturated or unsaturated or aromatic, linear or branched or cyclic polycarboxylic acid and/or at least one ester or one acid anhydride or one acid halide of said polycarboxylic acid and C) of at least one thermoplastic polyol polymer and D) optionally of at least one esterification catalyst and/or E) optionally of at least one cyclic anhydride of a polycarboxylic acid chosen to be other than the polycarboxylic acid anhydride of paragraph B) and/or F) optionally of at least one non-polymeric polyol comprising from 3 to 6 hydroxyl groups. The invention also relates to the use of said cyclodextrin polycondensate as an agent for capturing a substance or a mixture of substances chosen from: (i) those capable of polluting the environment； (ii) those capable of having a negative impact on a consumer product； (iii) those capable of deteriorating under the influence of atmospheric agents or upon contact with one or more ingredients in a composition； (iv) those capable of generating uncomfortable reactions on a keratin material, in particular a human keratin material； (v) beneficial agents.La présente invention concerne un polycondensat de cyclodextrine insoluble dans l'eau qui peut être obtenu par réaction d'estérification / polycondensation : A) d'au moins une cyclodextrine et B) d'au moins un acide polycarboxylique linéaire ou ramifié, ou cyclique, saturé ou insaturé ou aromatique et/ou au moins un ester ou un anhydride d'acide ou un halogénure d'acide dudit acide polycarboxylique et C) d'au moins un polymère de polyol thermoplastique et D) facultativement d'au moins un catalyseur d'estérification et/ou E) facultativement d'au moins un anhydride cyclique d'un acide polycarboxylique choisi de manière à être autre que l'anhydride d'acide polycarboxylique du paragraphe B)
