A tamper-evident closure assembly for a container includes a cap configured to be secured with the container to cover the opening. A tamper-evidencing member is carried by the cap and is configured to provide an indication when the cap is removed from the container. The closure assembly further includes an outer shell having a central aperture through which the cap is received. The outer shell and the cap may be configured to cooperate with each other such that the cap is operatively secured to, and mounted so as to be non-rotatable relative to, the outer shell. A system for storing material and a method of closing a container are also provided.