The ornamental design for a portion of an audiovisualcommunication device, as shown and described.
FIG. 1 is a front perspective view of a portion of an audiovisual communication device showing my new design;
FIG. 2 is a front view thereof;
FIG. 3 is a right view thereof;
FIG. 4 is a left view thereof; and,
FIG. 5 is a top view thereof.
The unshown bottom forms no part of the claimed design. The broken line showing of various regions and the unshaded areas within are for illustrative purposes only and form no part of the claimed design.