The ornamental design for a handle of exercisedevice, as shown and described.
FIG. 1 is a perspective view of a handle of exercise device showing my new design;
FIG. 2 is a front view thereof;
FIG. 3 is a back view thereof;
FIG. 4 is a left side view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a top view thereof;
FIG. 7 is a bottom view thereof; and,
FIG. 8 is another perspective view thereof.
The broken lines shown in FIG. 7 are for the purpose of illustrating portions of the handle of exercise device, which form no part of the claimed design. The broken lines shown in FIG. 8 are for the purpose of illustrating environmental structure, which form no part of the claimed design.