We report on the results of the detailed spectroscopic and kinematic analysis of the high-velocity carbon-enriched metal-poor ([Fe/H]=-1.59) star CD-62degr 1346. CD-62degr 1346 is also a "lead" star. Detailed kinematic analysis based on dynamical calculations, showed that CD-62degr 1346 is on a highly eccentric retrograde orbit (e = 0.91). The extreme retrograde motion may suggest that CD-62degr 1346 has an extragalactic origin. However, the high alpha -element abundances, typical of halo stars of such metallicity, do not support this suggestion. The Galactic rest frame velocity (V_GRF=570 km s-1), close to the Galaxy escape velocity, indicates that the star may be bound or unbound according to the adopted Galactic potential. The possibility of CD-62degr 1346, an evolved red giant star, to join the restricted group of hypervelocity stars, formerly consisting of B-type stars only, is discussed.