Closure component for securing a bag to a support in a container includes an annular portion including an upper wall, and inner and outer circumferential walls extending downward from an inner and outer edge region of the upper wall, respectively. A channel is defined on an underside of the annular portion by the inner, outer and upper walls. A pinch is on the inner or outer wall and includes a pair of slots extending upward from a lower edge of that wall and which are spaced apart from one another to enable a solid portion of that wall to temporarily flex outward relative to the channel. The upper wall includes an opening above each pinch. An optional extension portion extends radially outward from the outer wall and engages with attachment structure. The closure component is pivotable relative to the support via engagement of the extension portion with the attachment structure.