A ratcheting mounting device has a base that is formed with pair of flanges, each of the flanges for securing the base to an external surface, and a receptor gear surface formed with a quantity of gear teeth arranged in a radial pattern. A ratcheting coupler has an insertion gear surface formed with a quantity of gear teeth arranged in a radial pattern that is structured to cooperate with the radial pattern of gear teeth of the receptor gear surface of the ratchet base. A rigid arm appendage is secured to the ratcheting coupler in a ratcheting rotational relationship to the base. A coupler clamping mechanism secures the ratcheting coupler to the base with the gear teeth interlocked. According to one embodiment of the present invention, the ratcheting coupler also has two sets of gear teeth arranged on opposite sides of the ratcheting coupler.