A compression ring (10 34 52 70 100) to grip and compress body structure such as diverticulum hemorrhoids and tissue adjacent a hole. A resilient ring shaped body (12 36 54 72 102) defines a compression channel (14 38 56 74 104) and an elongated axially rigid gripping member (16 40 58 76 106) extends diametrically across the through opening. The gripping member (106) can rest on a flange (108) on the opposite side of the through opening or engage with a second gripping member (42 60 78) that extends diametrically across the through opening from the opposite side of the ring. Or a flexible cage structure (124) can be disposed in the through opening.
