Portion of a display screen with an animated icon

FIG. 1 is a front view of the first image of a portion of a display screen with an animated icon showing a first embodiment of our new design;

FIG. 2 is a front view of a second image of the first embodiment;

FIG. 3 is a front view of a third image of the first embodiment;

FIG. 4 is a front view of a fourth image of the first embodiment;

FIG. 5 is a front view of a fifth image of the first embodiment;

FIG. 6 is a front view of the first image of a portion of a display screen with an animated icon showing a second embodiment of our new design;

FIG. 7 is a front view of a second image of the second embodiment;

FIG. 8 is a front view of a third image of the second embodiment;

FIG. 9 is a front view of a fourth image of the second embodiment; and,

FIG. 10 is a front view of a fifth image of the second embodiment.

The broken lines in the figures show portions of the display screen which form no part of the claimed design. The appearance of the transitional image sequentially transitions between the images shown in FIGS. 1-5 of the first embodiment and FIGS. 6-10 of the second embodiment. The process or period in which one image transitions to another image forms no part of the claimed design.