A tamper-evident closure assembly (10) for a container (12) having an opening (16) includes a cap (18) configured to be secured with the container (12) to cover the opening (16). A tamper-evidencing member (20) is carried by the cap (18) and is configured to provide an indication when the cap (18) is removed from the container (12). The closure assembly (10) further includes an outer shell (22) having a central aperture (50) through which the cap (18) is received. The outer shell (22) and the cap (18) may be configured to cooperate with each other such that the cap (18) is operatively secured to, and mounted so as to be non-rotatable relative to, the outer shell (22). Systems for storing material and methods of closing a container and assembling a closure assembly are also provided.