FIG. 1 is a perspective view of a handset clip, showing my new design; FIG. 2 is a front view thereof; FIG. 3 is a rear view thereof; FIG. 4 is a top plan view thereof; FIG. 5 is a bottom plan view thereof; FIG. 6 is a right side view thereof; FIG. 7 is a left side view thereof; and, FIG. 8 is an exploded view thereof.