The CLEO II detector is used to search for the production of chi(c2) s
tates in two-photon interactions. We use the signature chi(c2) --> gam
ma J/psi --> gamma l+l- with l = e, mu. Using 1.49 fb-1 of data taken
with beam energies near 5.29 GeV, the two-photon width of the chi(c2)
is determined to be GAMMA(chi(c2) --> gammagamma) = 1.08 +/- 0.30(stat
) +/- 0.26(syst) keV, in agreement with predictions from perturbative
QCD.