The present invention relates to a closure system, which comprises a dispensing closure and a spout of a container or a spout for a container, to which the dispensing closure can be attached, wherein the dispensing closure is designed as a rebounding closure. The dispensing closure and spout are designed in such a way that the dispensing closure can be separated from the spout or container via a rotational motion. The invention also relates to a dispensing closure for such a closure system.