Using the Submillimeter Array, we report the discovery of a compact low-mass bipolar molecular outflow from L1014-IRS and confirm its association with the L1014 dense core at 200 pc. Consequently, L1014-IRS is the lowest luminosity (L ∼ 0.09 L_⊙), and perhaps the lowest mass, source known to be driving a bipolar molecular outflow, which is one of the smallest known in size (∼500 AU), mass (<10^-44 M _⊙), and energetics (e.g., with a force <10^-7 M_⊙ km s^-1 yr^-1).