  We propose that future experiments aiming at the detection of deviations from
the inverse square gravitational law on submillimetric scales can be used to
test the modified Newtonian dynamics theory (MOND). Current experiments are
able to test the gravitational field of masses of approximately 1g at distances
around 200 micrometers, implying that they are probing accelerations well above
the MOND limit (1.2 X 10^{-8} cms^{-2}). We show that MONDian effects begin to
be important at the submillimetric level for masses below 1 mg. MOND makes
predictions that are clearly distinguishable from those expected in a scenario
with compact extra dimensions. This will enable direct confrontation between
the two theories if future experiments can improve their mass scales to the
milligram level.
