  We report the discovery of PSR J1753-2240 in the Parkes Multibeam Pulsar
Survey database. This 95-ms pulsar is in an eccentric binary system with a
13.6-day orbital period. Period derivative measurements imply a characteristic
age in excess of 1 Gyr, suggesting that the pulsar has undergone an episode of
accretion-induced spin-up. The eccentricity and spin period are indicative of
the companion being a second neutron star, so that the system is similar to
that of PSR J1811-1736, although other companion types cannot be ruled out at
this time. The companion mass is constrained by geometry to lie above 0.48
solar masses, although long-term timing observations will give additional
constraints. If the companion is a white dwarf or main sequence star, optical
observations may yield a direct detection of the companion. If the system is
indeed one of the few known double neutron star systems, it would lie
significantly far from the recently proposed spin-period/eccentricity
relationship.
