An installation for transporting containers, the installation comprising a rotary platform (1, 2) provided in its periphery with slots (7.1, 7.2), a jaw (8.1, 8.2) being mounted on the platform in the vicinity of each slot in order to be movable between a closed position for holding a container in the slot and an open position. Each jaw comprises a resilient element (9.1, 9.2) having a portion (9.11, 9.21) fastened to the platform in the vicinity of the slot in order to have a free end (9.12, 9.22) that extends facing the slot and that is elastically deformable between a rest state in which the free end co-operates with a side wall of the slot to define a section smaller than the cross-section of the neck, and a deformed state in which the free end cooperates with the side wall of the slot to define a section greater than the cross-section of the neck.