Information about Kalymnos Kalymnos is a Greek island of the Aegean Sea, part of the Dodecanese. It is famous for the ability of its inhabitants to fish for sponges and to be one of the most renowned centers in the world for the practice of sport climbing. Kalymnos is a mountainous and barren island. It has a massive shape with a long and thin peninsula that extends towards Leros. Its coasts are very jagged and offshore there are numerous rocks and islets, among which the most important are Telendos, on the western side and Pserimos on the eastern side.