The invention relates to a twist-wrap film (1, 2, 3) which is produced by coextrusion of a plurality of plastic layers. The inventive film is characterized in that at least a) one or more plastic layer(s) (4, 4′) consist of one or more semicrystalline polyolefin(s) having a uniform structure and b) at least one additional layer from an amorphous cycloolefin copolymer (5) having a uniform structure, the layers a) and b) being in direct contact. The selection of an amorphous cycloolefin copolymer having a uniform structure in at least one layer of the inventive twist-wrap film combined with a semicrystalline polyolefin having a uniform structure allows to provide a twist-wrap film that can be easily produced and that has the rigidity required for twist-wrap packagings and a satisfactory deadfold behavior, i.e., recovery behavior.