The present invention concerns a hydrocyclone for cleaning cellulose suspensions from light impurities i.e. a so called reverse hydrocyclone, having a base end and an apex end and a separation chamber having an elongated shape between the base end and the apex end, at least one inlet arranged at the base end and at least one underflow outlet at the apex end and at least one overflow outlet at the base end. The overflow outlet is provided with an additional, light reject outlet arranged concentrically to a length axis of the hydrocyclone. The invention also concerns a system and a method for producing and/or treating cellulose suspension comprising at least a reverse cleaning stage and at least a dewatering stage.