A device comprising: an encircling implant that is to be delivered, wherein the encircling implant is a continuous flexible encircling implant; and first and second delivery limbs linked at an articulation region between distal ends of the first and second limbs by the encircling implant wherein the encircling implant extends through or over the first and second limbs to maintain the distal ends of the first and second limbs together in an articulating relationship at a distal articulation tip , wherein the first and second limbs include a proximal limb portion and a distal limb portion , wherein at least the distal limb portion of each limb is resiliently deformable into a delivery shape but when not deformed into the delivery shape is configured to form with the contralateral limb a loop , for use in a method comprising a) delivering through a catheter said encircling implant around a portion of a target structure in a body b) locating said encircling implant around the portion of the target structure in a body c) removing the delivery limbs from their positons around or within said encircling implant to leave the encircling implant in place around the target structure after the delivery limbs are removed from the encircling implant wherein the target structure is a heart or atrial appendage, a cecal appendix, a gallbladder, a neoplasm, a uterus, a hemorrhoid, an uvula, an aneurysm, a transected blood vessel or other transected, folded or looped lumen, an intraocular crystalline lens or implanted intraocular lens or lens haptic, a urinary bladder, a kidney, a prostate or a foreign body, characterized in that the loop folds back toward the proximal limb portion. an encircling implant that is to be delivered, wherein the encircling implant is a continuous flexible encircling implant; and first and second delivery limbs linked at an articulation region between distal ends of the first and second limbs by the encircling implant wherein the encircling implant extends through or over the first and second limbs to maintain the distal ends of the first and second limbs together in an articulating relationship at a distal articulation tip , wherein the first and second limbs include a proximal limb portion and a distal limb portion , wherein at least the distal limb portion of each limb is resiliently deformable into a delivery shape but when not deformed into the delivery shape is configured to form with the contralateral limb a loop , for use in a method comprising a) delivering through a catheter said encircling implant around a portion of a target structure in a body b) locating said encircling implant around the portion of the target structure in a body c) removing the delivery limbs from their positons around or within said encircling implant to leave the encircling implant in place around the target structure after the delivery limbs are removed from the encircling implant a) delivering through a catheter said encircling implant around a portion of a target structure in a body b) locating said encircling implant around the portion of the target structure in a body c) removing the delivery limbs from their positons around or within said encircling implant to leave the encircling implant in place around the target structure after the delivery limbs are removed from the encircling implant wherein the target structure is a heart or atrial appendage, a cecal appendix, a gallbladder, a neoplasm, a uterus, a hemorrhoid, an uvula, an aneurysm, a transected blood vessel or other transected, folded or looped lumen, an intraocular crystalline lens or implanted intraocular lens or lens haptic, a urinary bladder, a kidney, a prostate or a foreign body, characterized in that the loop folds back toward the proximal limb portion. <EOS>