 The more common procedure is Type Ib (clitoridectomy), the complete or partial removal of the clitoral glans (the visible tip of the clitoris) and clitoral hood.The circumciser pulls the clitoral glans with her thumb and index finger and cuts it off.Type II (excision) is the complete or partial removal of the inner labia, with or without removal of the clitoral glans and outer labia.