A dispenser for dispensing web of paper, the dispenser including a housing, a dispensing opening defined in the housing for dispensing paper. A tear unit is arranged at the dispensing opening for facilitating tear of the paper upon moving the tissue paper over the tear unit. The tear unit includes a tear unit body, and the tear unit body includes a friction surface provided with an elastomer. The elastomer includes rounded protrusions distributed along the friction surface such as to facilitate tearing during dispensing.