Using 2.7 fb(-1) of data taken with the CLEO II detector, we have sear
ched for CP violation in the charm system. We looked for asymmetries i
n the number of decays of D-0's and ($) over bar D-0's ot the CP eigen
states K+K-, K-S phi(0), and K-S(0) pi(0). Confidence intervals (90%)
on these asymmetries were found to be -0.020 < A(KK) < 0.180, -0.182 <
A(K0S pi 0) < 0.031, respectively.