FIG. 1 is a front elevational view of an electronic cigarette heating piece showing our new design; FIG. 2 is a rear elevational view of FIG. 1; FIG. 3 is a left side view of FIG. 1; FIG. 4 is a right side view of FIG. 1; FIG. 5 is a top plan view of FIG. 1; FIG. 6 is a bottom plan view of FIG. 1; and, FIG. 7 is a bottom, front and left side perspective view of FIG. 1.