A cover (1) for a shaft of a medical scoping device comprises tubular member (2) arranged for application on the distal tip of the medical scoping device. The cover (1) comprises a plurality of projecting elements (3) spaced apart circumferentially around the tubular member (2), each projecting element having a base portion (13) and an arm portion (14). The projecting elements are pivotably mounted on the tubular member about a pivot axis. The base portion (13) comprises a detent (20), and the tubular member comprises a contact region, for example a protuberance (23), said contact region being located such that pivoting movement of the projecting element for moving the arm portion in a distal direction can effect impacting of the detent (20) on the contact region (23).
