A system comprising: an apparatus comprising: a staple cartridge (540; 640; 740; 840), wherein the staple cartridge (540; 640; 740; 840) comprises: (i) a plurality of staples, (ii) a deck (541; 641; 741; 841), wherein the deck (541; 641; 741; 841) defines a plurality of openings (545; 645), wherein each opening (545; 645) of the plurality of openings (545; 645) is associated with a corresponding staple of the plurality of staples, such that each staple is configured to pass through a corresponding opening (545; 645) of the plurality of openings (545; 645), and (iii) a cinching feature (580; 682; 750; 850) positioned on the deck (541; 641; 741; 841), wherein the cinching feature (580; 682; 750; 850) is configured to be coupled to tissue in response to actuation of the staple cartridge (540; 640; 740; 840), wherein the cinching feature (580; 682; 750; 850) is configured to cinch a portion of stapled tissue toward a cinched position, in which flap regions of the stapled tissue are brought toward each other; wherein the system further comprises a circular stapler comprising: (i) an anvil, and (ii) a stapling head assembly, wherein the stapling head assembly comprises: a rod (1330; 2330) configured to engage the anvil, a knife member configured to form a circular cut line in tissue, and a staple driver, wherein the anvil and stapling head assembly are configured to cooperate to clamp and staple tissue; wherein the cinching feature (580; 682; 750; 850) is configured to be coupled to the rod (1330; 2330) when the circular stapler is associated with tissue stapled and severed by the apparatus; and wherein the rod (1330; 2330) includes an aperture (1331; 2331) configured to receive a portion of the cinching feature and/or a hook configured to engage a portion of the cinching feature (580; 682; 750; 850). an apparatus comprising: a staple cartridge (540; 640; 740; 840), wherein the staple cartridge (540; 640; 740; 840) comprises: (i) a plurality of staples, (ii) a deck (541; 641; 741; 841), wherein the deck (541; 641; 741; 841) defines a plurality of openings (545; 645), wherein each opening (545; 645) of the plurality of openings (545; 645) is associated with a corresponding staple of the plurality of staples, such that each staple is configured to pass through a corresponding opening (545; 645) of the plurality of openings (545; 645), and (iii) a cinching feature (580; 682; 750; 850) positioned on the deck (541; 641; 741; 841), wherein the cinching feature (580; 682; 750; 850) is configured to be coupled to tissue in response to actuation of the staple cartridge (540; 640; 740; 840), wherein the cinching feature (580; 682; 750; 850) is configured to cinch a portion of stapled tissue toward a cinched position, in which flap regions of the stapled tissue are brought toward each other; (i) a plurality of staples, (ii) a deck (541; 641; 741; 841), wherein the deck (541; 641; 741; 841) defines a plurality of openings (545; 645), wherein each opening (545; 645) of the plurality of openings (545; 645) is associated with a corresponding staple of the plurality of staples, such that each staple is configured to pass through a corresponding opening (545; 645) of the plurality of openings (545; 645), and (iii) a cinching feature (580; 682; 750; 850) positioned on the deck (541; 641; 741; 841), wherein the cinching feature (580; 682; 750; 850) is configured to be coupled to tissue in response to actuation of the staple cartridge (540; 640; 740; 840), wherein the cinching feature (580; 682; 750; 850) is configured to cinch a portion of stapled tissue toward a cinched position, in which flap regions of the stapled tissue are brought toward each other; wherein the system further comprises a circular stapler comprising: (i) an anvil, and (ii) a stapling head assembly, wherein the stapling head assembly comprises: a rod (1330; 2330) configured to engage the anvil, a knife member configured to form a circular cut line in tissue, and a staple driver, (i) an anvil, and (ii) a stapling head assembly, wherein the stapling head assembly comprises: a rod (1330; 2330) configured to engage the anvil, a knife member configured to form a circular cut line in tissue, and a staple driver, a rod (1330; 2330) configured to engage the anvil, a knife member configured to form a circular cut line in tissue, and a staple driver, wherein the anvil and stapling head assembly are configured to cooperate to clamp and staple tissue; wherein the cinching feature (580; 682; 750; 850) is configured to be coupled to the rod (1330; 2330) when the circular stapler is associated with tissue stapled and severed by the apparatus; and wherein the rod (1330; 2330) includes an aperture (1331; 2331) configured to receive a portion of the cinching feature and/or a hook configured to engage a portion of the cinching feature (580; 682; 750; 850).