Kayaköy (also: Kaya or Livissi) is a neighbourhood of the municipality and district of Fethiye, Muğla Province, Turkey. In 2022, its population was 975. Situated 8 km south of Fethiye, it is mostly abandoned. It was anciently known in Greek as Karmylessos (Ancient Greek: Καρμυλησσός), shortened to Lebessos (Ancient Greek: Λεβέσσος) and pronounced in Modern Greek as Leivissi (Greek: Λειβίσσι). From Ancient Greek the town name shifted to Koine Greek by the Roman period, evolved into Byzantine Greek in the Middle Ages, and finally became the Modern Greek name still used by its townspeople before their final evacuation in 1923.
In late antiquity the inhabitants of the region had become Christian and, following the East-West Schism with the Church of Rome in 1054 AD, they came to be called Greek Orthodox Christian. These Greek-speaking Christian subjects, and their Turkish-speaking Muslim Ottoman rulers, lived in relative harmony from the end of the turbulent Ottoman conquest of the region in the 14th century until the early 20th century. Following the Greco-Turkish War of 1919–1922, and the subsequent Treaty of Lausanne in 1923, the town's Greek Orthodox residents were exiled from Livissi.