A skin graft mesher including a cutting roller and a guide roller rotatably mounted to a fixture. A skin graft may be advanced through the mesher between the rollers to form a pattern of perforations in the skin graft. The cutting roller includes cutting rings disposed on an axle and rotatable therewith. The cutting roller further includes a tissue clearing structure positioned between adjacent cutting rings with the axle extending through the tissue clearing structure and rotatable relative to the tissue clearing structure. The tissue clearing structure may clear tissue from between adjacent cutting rings during operation of the skin graft mesher. The tissue clearing structure may be eccentrically rotated about the axle between adjacent cutting rings with the tissue clearing structure extending radially outward beyond the outer diameter of the cutting ring around less than the entire outer circumference of the cutting ring.