FIG. 1 is a top perspective view of a double compartment container lid showing my new design;

FIG. 2 is another top perspective view thereof;

FIG. 3 is a bottom perspective view thereof;

FIG. 4 is another bottom perspective view thereof;

FIG. 5 is a top plan view thereof;

FIG. 6 is a bottom plan view thereof;

FIG. 7 is a side elevation view of a first side thereof; and,

FIG. 8 is a side elevation view of a second side thereof.

The ornamental design which is claimed is shown in solid lines in the drawings.