A tamper-evident closure assembly for a container having a neck defining an opening and having an exterior, the tamper-evident closure assembly comprising: a base cap configured for securing with the neck of the container and including an aperture configured for providing access to the opening of the container in the neck, 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, a first tamper-evidencing member associated with the base cap and configured to be associated with the neck of the container, the first tamper-evidencing member including an upper ring configured to be held by the base cap, and a first band frangibly connected to the upper ring and configured to be retained by the neck of the container, wherein the frangible connection between the upper ring and the first band is configured to be broken when the base cap is removed from the neck of the container to provide an indication that the base cap has been removed from the neck, and a second tamper-evidencing member associated with the overcap and the base cap and configured to provide an indication when the overcap has been removed from the base cap, characterized in that the base cap further includes a ring-shaped body configured to fit around the exterior of the neck, the ring-shaped body including an interior configured to face towards the exterior of the neck when the base cap is secured with the neck, and an exterior that faces away from the interior, with the ring-shaped body further including a lower skirt portion defining a lower edge of the ring-shaped body and the base cap, the lower skirt portion including an outer circumferential wall and an inner circumferential wall extending downwardly from the rest of the body to define an annular socket therebetween, and the upper ring is partially received in the annular socket when the first tamper-evidencing member is associated with the base cap. a base cap configured for securing with the neck of the container and including an aperture configured for providing access to the opening of the container in the neck, 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, a first tamper-evidencing member associated with the base cap and configured to be associated with the neck of the container, the first tamper-evidencing member including an upper ring configured to be held by the base cap, and a first band frangibly connected to the upper ring and configured to be retained by the neck of the container, wherein the frangible connection between the upper ring and the first band is configured to be broken when the base cap is removed from the neck of the container to provide an indication that the base cap has been removed from the neck, and a second tamper-evidencing member associated with the overcap and the base cap and configured to provide an indication when the overcap has been removed from the base cap, characterized in that the base cap further includes a ring-shaped body configured to fit around the exterior of the neck, the ring-shaped body including an interior configured to face towards the exterior of the neck when the base cap is secured with the neck, and an exterior that faces away from the interior, with the ring-shaped body further including a lower skirt portion defining a lower edge of the ring-shaped body and the base cap, the lower skirt portion including an outer circumferential wall and an inner circumferential wall extending downwardly from the rest of the body to define an annular socket therebetween, and the upper ring is partially received in the annular socket when the first tamper-evidencing member is associated with the base cap.