A container (10) for housing a medical accessory (20) during cleaning thereof following its use on a patient is disclosed. The medical accessory may be a valve from a flexible medical endoscope. The container (10) has a closure mechanism comprising first and second complementary members (16, 17) adapted to engage with one another. Once engaged, the first and second complementary members (16, 17) cannot be disengaged from one another without the container (10) breaking. The container (10) is thus suitable only for single use, so as to prevent cross-contamination, and to comply with appropriate public health guidelines. A clip (26) is also provided so that the container may be attached to the endoscope to which the valve belongs.