The ornamental design for a wallmountableholder with retaining rings for holding hair styling tools, as shown and described.
FIG. 1 is a perspective view of a wall mountable holder with retaining rings for holding hair styling tools in accordance with my design;
FIG. 2 is a top plan view of the wall mountable holder with retaining rings for holding hair styling tools of FIG. 1, with the bottom plan view being a mirror image thereof;
FIG. 3 is a front elevational view thereof;
FIG. 4 is a left side elevational view thereof;
FIG. 5 is a right side elevational view thereof; and,