Abstract: A wall system, particularly for thin stone or thin brick veneer walls, has a plurality of stones or bricks with grooves running along the upper and lower edges and a plurality of clips for linking the stones or bricks. One type of clip having one or more connecting flanges links an upper stone or brick to a lower stone or brick with the one or more connecting flanges housed within the groove in the lower edge of the upper stone or brick and within the groove in the upper edge of the lower stone or brick. The one or more connecting flanges of the clip depend from one or more base flanges of the clip and have a width just equal to the distance from the rear face to the groove of the upper and lower stones or bricks. The one or more base flanges of the clip depend from a support flange of the clip. The support flange has one or more apertures for accepting a screw or nail for fastening the clip to a structural wall.