We use new observations of very weak C IV absorption lines associated
with high-redshift Ly alpha absorption systems to measure the high-red
shift Ly alpha line two-point correlation function (TPCF). These very
weak C IV absorption lines trace small-scale velocity structure that c
annot be resolved by Ly alpha absorption lines. We find that (1) high-
redshift Ly alpha absorption systems with N(H I)> 3 x 10(13) cm(-2) ar
e strongly clustered in redshift, (2) previous measurements of the Ly
alpha line TPCF underestimated the actual clustering of the absorbers
due to unresolved blending of overlapping velocity components, (3) the
present observations are consistent with the hypothesis that clusteri
ng of Ly alpha absorption systems extends to lower column densities, b
ut maybe with smaller amplitude in the correlation function, and (4) t
he observed clustering is broadly compatible with that expected for ga
laxies at z similar to 2-3. We interpret these results as suggesting t
hat many or most Ly alpha absorbers may arise in galaxies even at high
redshifts, and, therefore, that the Ly alpha forest probes processes
of galaxy formation and evolution for redshifts z less than or similar
to 5.