Telephone handset hang-up device or similar article

FIG. 1 is a bottom, front, and right side perspective view of a "telephone handset hang-up device or similar article" showing our new design in full lines, with the broken line matter being for illustrative purposes only and forming no part of the claimed design;

FIG. 2 is a left side elevational view thereof;

FIG. 3 is a rear elevational view thereof; and

FIG. 4 is a bottom plan view thereof.

The broken line showing of environmental association in FIG. 1 is for illustrative purposes only and forms no part of the claimed design.