includes an inner cup provided with a plurality of at least partially flexible claws that can assume two positions u2014 an open position in which the claws allow the stick to be inserted into the inner cup u2014 a blocked position in which the claws can penetrate into the stick previously inserted into the inner cup in order to block it the system further including an outer cup of which the dimensions are designed to allow the claws to shift from the open position to the closed position and elements for locking the inner cup in the outer cup when the claws are in the blocked position application_number US 201414908008 A description below is a detailed account of several embodiments of the invention accompanied by examples and with reference to the drawings in fig1 to 9 are illustrated the parts of a system 1 for retaining a cosmetic product in the form of a stick 2 of material in a casing the cosmetic product is a stick of lipstick for example the retaining system 1 comprises a so called u201c inner u201d cup 3 and a so called u201c outer u201d cup 4 the inner cup 3 comprises a side wall 5 advantageously as will be seen below cylindrical and symmetrical about a longitudinal axis a closed at one end by a bottom 6 and forming an opening 7 at the other end the inner cup 3 thereby forms a housing 8 between its side wall 5 and the bottom 6 for the stick 2 which can be inserted into the housing 8 through the opening 7 the opening 7 is delimited by an edge 9 the dimensions of which are adapted to allow.