FIG. 1 is a top perspective view of the present comb holder; FIG. 2 is an overhead view of same; FIG. 3 is a right side view of the comb holder of FIG. 1, both sides being identical; FIG. 4 is a front view of the comb holder of FIG. 1, the front and rear views being identical; and, FIG. 5 is a bottom view of same.