Compacts designed to hold a product and having a lid, and upper housing portion, and a lower housing portion. The upper housing portion and the lower housing portion are twistable relative to one another, with the lid secured to the upper housing portion and twisting therewith. The lid and lower housing portion comprise engaging structures to secure the lid in a closed position when the respective engaging structures are aligned with one another. When the upper housing portion and lid are twisted relative to the lower housing portion, the lid is free to open upon reaching a sufficient amount of twisting movement.