  It is shown that recent results from the Super-Kamiokande detector constrain
the tau neutrino diagonal magnetic moment to $\mu_{\nu_{\tau}} < 1.3\times
10^{-7} \mu_{B}$ for the case of $\nu_{\mu}\to \nu_{\tau}$ interpretation of
the atmospheric neutrino anomaly. It is pointed out that the large magnetic
moment of the tau neutrino could affect further understanding of the origin of
the anomaly.
