Honestly, I have no idea what this little gem is WANTING to be used for.  A covered plate...with a hole in it?  A planter?   Matters not.  It's the turquoise and yellow classic mid-century modern combination that delights.  Novelty California wood pencils included because...why not?
 
Some ceramic residue when top/bottom were separated.  See photo.
Domed Lid:  2"h x 6" diameter x 2.5" lid opening diameter
Plate:  6.5" diameter x .5"h