Rössing Uranium Ltd's Tailings Storage Facility is subject to wind erosion, resulting in a dust plume to the west of the facility. The risks to the public from wind-blown tailings material include the potential inhalation of tailings dust; dispersion of the material into the environment and subsequent runoff into the Khan River; potential increases of the inhalation dose of radon progeny from the distributed dust; direct irradiation of people and animals from the presence of tailings material on the ground; and the potential impact on biodiversity as a result of plants being smothered by dust. This report assesses the maximum risk associated with the inhalation of tailings dust to be insignificant at less than 53 micro-sieverts per annum (the actual dose assessed will depend on the assessment methodology and on whether a suitable background value is subtracted). Risks additional to dust inhalation are shown to be negligible: the impacts from increased radon concentrations or direct irradiation from tailings material to public receptor groups, dispersion of tailings material into the environment, or loss of biodiversity from tailings dust are all insignificant. Based on this assessment, remediation of the dust plume is restricted to the activities designed in the Rössing Uranium Closure Management Plan, which consist of collecting consolidated amounts of tailings material from the environment for disposal in the Tailings Storage Facility.