A delivery assembly includes a ring sleeve that fits snugly over a main endoscope on the distal end of the endoscope. An extension tube projects distally away from the ring sleeve and may be made integrally with the sleeve. The extension tube is off-axis from the ring sleeve and endoscope. A tube-like inner carrier is reciprocatingly disposed inside the extension tube. One or more resilient tissue compression rings are placed in a stretched configuration on the inner carrier. To push the rings off the carrier, the carrier is pulled proximally within the extension tube and the compression ring is thus pulled into contact with the distal end of the extension tube. Continued pulling of the carrier causes the compression ring to be pushed off the assembly onto target tissue, at which point the ring is relaxed to assume a small configuration and clamp the target tissue.
