Abstract: A safety rear view mirror device has a detachable mounting base part for removably securing it alternately on the brim or peak portion of a cap or the crown portion of a hat or other type of head covering. The mounting base part is bifurcated to alternately fit over and to be securely clamped by a mounting screw to the peak portion of a cap or alternatively, to rest against and to be clamped on the crown portion of a hat by a through-extending mounting screw. A flexible and ductile connector cable is endwise slidably removably mounted at one end within a collar portion of the base part and, at its other end, is adapted to be securely and detachably mounting by a spring clip to a back mounting for a back-viewing mirror. The cable is constructed for easy finger-grip bending to move the mirror into the best rear viewing position, with full assurance that the cable will stay in its selected bent positioning. The cable has a metal core cast within and enclosed by a hollow insulating sheath.