From Wikipedia, the free encyclopedia. A buccal exostosis (also termed alveolar exostosis), is an exostosis (bone prominence) on the buccal surface (cheek side) of the alveolar ridge of the maxilla or mandible. Some consider them a variation of normal anatomy rather than a disease.rom Wikipedia, the free encyclopedia. A buccal exostosis (also termed alveolar exostosis), is an exostosis (bone prominence) on the buccal surface (cheek side) of the alveolar ridge of the maxilla or mandible. Some consider them a variation of normal anatomy rather than a disease.