The ornamental design for an elasticbandage with anchoring part, as shown and described.
FIG. 1 is a right top perspective view of an elastic bandage with anchoring part, according to our new design;
FIG. 2 is a right side view thereof;
FIG. 3 is left side perspective view thereof; and,
FIG. 4 is a bottom perspective view thereof.
In the drawings, the dashed broken lines depict portions of the elastic bandage with anchoring part that form no part of the claimed design. The dot-dash lines represent a symbolic break in its length. The appearance of any portion of the article beyond the break forms no part of the claimed design.