You could add shadows to the watch hands..
Maybe duplicate the bottom yellow circle and set it to a darker circle placing it underneath, giving it a shadow (you may have to increase the size slightly or move it one pixel off to simulate shadow)
Alternately, make the bottom inner circle a slightly lighter shadow of the brown to make it "pop" and suggest 3d.. as it is the whole watchface feels like it's one layer.. like it was drawn. You can improve the way it feels by making slight changes to suggest 3d depth.
Lighter colors vs. darker contrasting.. darker fade to the background, lighter to the foreground.. that's why the darker shadow (be it black or darker brown) helps it to feel 3d subconsciously.
Hopefully that makes sense