Structure formation in a LCDM-Universe predicts the presence of dark matter clumps hosted by Milky Way-like galaxies. If DM is composed of heavy self-annihilating or decaying particles, these clumps are expected to be visible in the gamma-ray band as faint, non-variable, and possibly extended objects, possessing no conventional astrophysical counterpart in other bands. Recent searches in the Fermi data reveal one promising candidate, namely 1FGL J0030.7+0724. Its observed faint and steady high-energy flux can plausibly be explained by DM annihilation. Except for a hint at an extreme blazar scenario, so far, multiwavelength searches and follow-up observations in the X-ray (Swift XRT) failed to provide a convincing identification. However, the proposed source is expected to be visible as a moderately extended radio source within a leptophilic DM scenario (synchrotron emission of final state electrons), with peak brightness between 0.1 and 5 mJy/beam for the ATCA in H75 configuration at 2.3 GHz. To prove a possible dark matter origin or identify a convincing astrophysical counterpart we propose the source for 24 (3 x 8) hours of observation with the ATCA in the H75, H214, and 6B configurations.