The ornamental design for a specimencup handle, as shown and described.
FIG. 1 is a perspective view of a specimen cup holder showing my new design, the broken line showing of a specimen cup is for illustrative purposes only and forms no part of the claimed design;
FIG. 2 is a top plan view, thereof;
FIG. 3 is a bottom plan view, thereof;
FIG. 4 is a side elevational view, thereof;
FIG. 5 is a side elevational view, thereof; opposite that shown in FIG. 4;