  We present VLT spectroscopy and NTT photometry of the faint cataclysmic
binary SDSS J003941.06+005427.5. This object shows triple-peaked H-alpha
emission with all three peaks variable in both strength and velocity. We
measure an orbital period of 91.395 +/- 0.093 min from the velocity variations
of the wings of the H-alpha emission line. Using the GALEX and SDSS photometry
of this object, we determine a white dwarf temperature of 15000 K and a very
late (>=L2) spectral type for the companion star. These measurements, plus the
relatively long orbital period, suggest that SDSS J003941.06+005427.5 may be a
post-bounce cataclysmic variable. Doppler maps of the H-alpha and He I 6678A
emission features show an accretion disc with a non-uniform brightness and
departures from Keplerian flow. The third emission peak is detected only in
H-alpha and at a relatively low velocity amplitude of 202 +/- 3 km/s. We are
unable to explain this emission as arising from either the white dwarf, the
secondary star, or the accretion disc. We tentatively attribute this mysterious
central peak to a coronal loop anchored at the secondary star. If confirmed,
this would be the first example of a slingshot prominence in a CV with a low
mass-transfer rate and/or a fully convective secondary star.
