A coupling system includes an applicator tool and an attachment ring mounted on the applicator tool. Clips are contained within the applicator tool and are deployed through the attachment ring in order to anchor the attachment ring to biological tissue. When deployed, tips of the clips follow a curved trajectory through an annular cuff of the attachment ring and through the underlying tissue. The tips loop back out of the tissue and to a location where they are later trapped or clamped by the attachment ring. While the tips are trapped or clamped, the applicator tool cinches the clips by pulling rear segments of the clips. Thereafter, the applicator tool disconnects from the attachment ring which remains anchored to the tissue and serves as a coupling for a cannula. The cannula can have movable lock members that secure it to the attachment ring.