The ornamental design for an elasticbandage with anchoring part, as shown and described.
FIG. 1 is a right-side isometric view of an elastic bandage with anchoring part, according to our new design;
FIG. 2 is a bottom plan view thereof;
FIG. 3 is a top plan view thereof; and,
FIG. 4 is a left-side isometric view thereof.
In the drawings, the short-dash lines show portions of the elastic bandage with anchoring part and form no part of the claimed design. The long-dash lines represent boundaries of the claimed design and form no part of the claim.