The chair swing is a piece of furniture for sitting. The chair swing includes seat suspended from a frame. FIG. 1 is an upper perspective view of the chair swing showing my design. FIG. 2 is a front view thereof; FIG. 3 is a back view thereof; FIG. 4 is a side view thereof; FIG. 5 is an opposite side view thereof; FIG. 6 is top view thereof; and, FIG. 7 is a bottom view thereof.