A tamper-evident closure assembly is provided for a container having a neck defining an opening. The closure assembly includes a base cap configured for securing with the neck of the container. The base cap includes an aperture for providing access to the opening of the container in the neck. The closure assembly further includes an overcap configured for securing with the base cap and configured to cover the aperture in the base cap when the overcap is secured to the base cap. First and second tamper-evidencing members are associated with the base cap and the overcap, respectively. The first tamper-evidencing member provides an indication when the base cap has been removed from the neck, and the second tamper-evidencing member provides an indication when the overcap has been removed from the base cap.