The ornamental design for a fishhookretainingbox, as shown and described.
FIG. 1 shows a top perspective view of my design for a fish hook retaining box, shown in a closed position;
FIG. 2 shows a top perspective view thereof, shown in an open position;
FIG. 3 shows a top perspective view thereof, shown in an open position, with a fish hook retaining pad mounted therein being environment, and being shown in broken line, and not forming a part of the claimed design;
FIG. 4 shows a front view of the fish hook retaining box in closed position;
FIG. 5 shows a left side view thereof;
FIG. 6 shows a plan view thereof; and,
FIG. 7 shows a plan view thereof, shown in an open position.