We present new FUSE spectroscopy of the dwarf starburst galaxy NGC 625 . These observations probe multiple phases of the interstellar medium , including the coronal , ionized , neutral and molecular gas . This nearby ( D = 3.9 \pm 0.2 Mpc ) system shows a clear detection of outflowing coronal gas as traced by O vi \lambda 1032 Å absorption . The centroid of the O vi profile is blueshifted with respect to the galaxy systemic velocity by \sim 30 km s ^ { -1 } , suggesting a low-velocity outflow . The implied O vi velocity extent is found to be 100 \pm 20 km s ^ { -1 } , which is fully consistent with the detected H i outflow velocity found in radio synthesis observations . We detect multiple lines of diffuse H _ { 2 } absorption from the ISM of NGC 625 ; this is one of only a few extragalactic systems with FUSE detections of H _ { 2 } lines in the Lyman and Werner bands . We find a potential abundance offset between the neutral and nebular gas that exceeds the errors on the derived column densities . Since such an offset has been found in multiple dwarf galaxies , we discuss the implications of a lower-metallicity halo surrounding the central star forming regions of dwarf galaxies . The apparent offset may be due to saturation of the observed O i line , and higher S/N observations are required to resolve this issue .