A device for separating liquid from waste produced by milling or cutting operations, and particularly from waste arising during the milling of plastics surfaces, comprises a housing for taking up the liquid separated from the waste and a screening device communicating with this housing. The liquid containing the waste is introduced through a means for introduction into the screening device. Means for a continuous recovery of the waste are associated with the screening device, where the waste is continuously conveyed toward a recovery means associated with the screening device. The screening device and, where applicable, the housing are of cylindrical shape. The means for continuous recovery are provided as eccentrically mounted rotary-slide arrangement.