This system comprises a retaining housing (22) formed by a hole intended to receive the anchoring member (2) and a retaining portion (5) arranged on the anchoring member (2); - said retaining housing (22) is arranged in a part (4; 50) having a degree of elastic flexibility and is delimited by a continuous wall of this part (4; 50); - the retaining housing (22), on the side of a first axial end, forms a first collar (27) forming a continuous circular projection capable of being elastically deformed by the retaining portion (5) arranged on the anchoring member (2); the wall of said part (4; 50) delimiting the retaining housing (22) also forms, on a second axial end, a second collar (28) not able to be elastically deformed by said retaining portion (5).