We describe the synthesis of poly(glycidyl acetate-co-glycidyl butyrate carbonate)s via the terpolymerization of glycidyl acetate (GA), glycidyl butyrate (GB), and CO2 by a cobalt salen complex in high atom economy. These new non-cytotoxic polycarbonates are pressure-sensitive adhesives, and peel testing shows the adhesive strength ranges from Scotch-Tape® to hot-melt glues based on glycidyl butyrate content. The tunable adherence, benign degradation products, and facile application and removal suggest their utility as temporary adhesives, such as those used in biomedical applications or medical devices. One polymer, (GA-co-GB)-87, exhibits the proper adhesive strength to sufficiently adhere a collagen buttress to the jaws of a steel surgical stapler and easily release the buttress after firing to successfully cut, close, and implant the buttress into lung tissue in an ex vivo sheep model.