We have measured the CP asymmetry A(CP) equivalent to [Gamma (b --> sy) - G
amma((b) over bar --> ($) over bar gamma)]/[Gamma (b --> s gamma) + Gamma((
b) over bar --> (s) over bar gamma)] to be A(CP) = (-0.079 +/- 0.108 +/- 0.
022)(1.0 +/- 0.030), implying that, at 90% confidence level, A(CP) lies bet
ween -0.27 and +/- 0.10. These limits rule out some extreme non-standard-mo
del predictions, but are consistent with most, as well as with the standard