FIG. 1 is a perspective view of the palm chiller device; FIG. 2 is a front view of the palm chiller device; FIG. 3 is a rear view of the palm chiller device; FIG. 4 is a right view of the palm chiller device; FIG. 5 is a left view of the palm chiller device; FIG. 6 is a top view of the palm chiller device; and, FIG. 7 is a bottom view of the palm chiller device.