We study spin relaxation of optically trapped atoms that is due to lig
ht scattering from the trap laser. We observe relaxation times greater
than 2 s for ground-state hyperfine-level populations of Rb-85 atoms
trapped in an optical dipole force trap operating as much as 65 nm to
the red of the D1 line. The measured relaxation rate can be more than
100 times slower than the atoms' total spontaneous scatter rate from t
he trap laser. This enhancement in atomic ground-state lifetime is due
to an interference effect in spontaneous Raman scattering far from at
omic resonance.