The ornamental design for a container for saving a partially eaten stick-mounted sucker, as shown and described.
FIG. 1 is an exploded side elevation view of a container for saving a
partially eaten stick-mounted sucker showing my new design, the remaining
sides being the same;
FIG. 2 is a reduced side elevation view thereof, the stick-mounted sucker
shown in broken lines for illustrative purposes only and forming no part
of the claimed design;