Spent coffee grounds generated from the brewing of coffee cherries are rich in chlorogenic acids that are associated, to a certain extent, with a delay in the development of various chronic diseases and age-related disorders. These natural antioxidants are applied in the pharmaceutical, cosmetic, and food industries. This brief overview describes recently proposed procedures for the extraction and recovery of chlorogenic acids from spent coffee grounds, which is a low-cost and easily accessible by-product. Solvent selection and temperature control seem to be the main factors due to the thermolabile nature of these compounds. Advanced extraction technologies are generally faster and enhance extraction efficiency. Procedures for the valorization of coffee waste are the goal of a sustainable and circular bioeconomy that seeks to increase their added benefits and reduce environmental pollution.