Abstract: A glove-shaped overwrap of, e.g, cotton has finger portions which extend radially outwardly from a central hand portion. Ravel-stop means, e.g. baste stitches, encircle each of the finger portions adjacent the hand portion. A drawstring or other means permits the overwrap to be secured about the patient's wrist.Where a patient's finger is to be bandaged or medicated, the other finger portions are severed from the hand portion. The finger is bandaged or medicated and the overwrap is then put on the bandaged or medicated hand so that the bandaged or medicated finger is covered by the unsevered finger portion of the overwrap. The drawstring is tied around the patient's wrist. The invention facilitates bandaging and medication of, e.g., infant fingers and hands, since infants tolerate the overwrap well and can neither remove the bandage from the finger nor eat or otherwise remove the medication from it.