  We report on a survey for narrow (FWHM < 600 km/s) CIV absorption lines in a
sample of bright quasars at redshifts $1.8 \le z < 2.25$ in the Sloan Digital
Sky Survey. Our main goal is to understand the relationship of narrow CIV
absorbers to quasar outflows and, more generally, to quasar environments. We
determine velocity zero-points using the broad MgII emission line, and then
measure the absorbers' quasar-frame velocity distribution. We examine the
distribution of lines arising in quasar outflows by subtracting model fits to
the contributions from cosmologically intervening absorbers and absorption due
to the quasar host galaxy or cluster environment. We find a substantial number
($\ge 43\pm6$ per cent) of absorbers with REW $> 0.3$ \AA in the velocity range
+750 km/s $\la v \la $ +12000 km/s are intrinsic to the AGN outflow. This
`outflow fraction' peaks near $v=+2000$ km/s with a value of $f_{outflow}
\simeq 0.81 \pm 0.13$. At velocities below $v \approx +2000$ km/s the incidence
of outflowing systems drops, possibly due to geometric effects or to the
over-ionization of gas that is nearer the accretion disk. Furthermore, we find
that outflow-absorbers are on average broader and stronger than
cosmologically-intervening systems. Finally, we find that $\sim 14$ per cent of
the quasars in our sample exhibit narrow, outflowing CIV absorption with REW $>
0.3$\AA, slightly larger than that for broad absorption line systems.
