  We have investigated different scenarios for the origin of the binary
millisecond pulsar PSR J1911-5958A in NGC 6752, the most distant pulsar
discovered from the core of a globular cluster to date. The hypothesis that it
results from a truly primordial binary born in the halo calls for
accretion-induced collapse and negligible recoil speed at the moment of neutron
star formation. Scattering or exchange interactions off cluster stars are not
consistent with both the observed orbital period and its offset position. We
show that a binary system of two black holes with (unequal) masses in the range
of 3-100 solar masses can live in NGC 6752 until present time and can have
propelled PSR J1911-5958A into an eccentric peripheral orbit during the last ~1
Gyr.
