A unit for dispensing a dosage material of a powdery or granular consistency has a housing and at least one dispensing head. At least one reservoir cavity is formed inside the housing and serves to receive dosage material. The at least one dispensing head is formed of an elastomeric material. The dispensing head has an outlet which is slit-shaped in its non-deformed state and is delimited by a first outlet lip and a second outlet lip. The outlet can be opened to a variable width by the application of a lateral compressive force. The arrangement further includes at least a first motion-transmitting means designed to impart an oscillatory movement to the first outlet lip relative to, and in the lengthwise direction of, the second outlet lip.
