A compression ring to grip and compress body structure such as diverticulum, hemorrhoids, and tissue adjacent a hole. A resilient ring-shaped body defines a compression channel, and one or more axially rigid elongated spikes extend from the body into the channel. The body defines a first axial segment surrounding the compression channel and a second axial segment surrounding the compression channel, with the spike being engaged only with the second axial segment. The first axial segment more tightly compresses the body structure than the second axial segment.