  We show that the breaking time of quantum-classical correspondence depends on
the type of kinetics and the dominant origin of stickiness. For sticky dynamics
of quantum kicked rotor, when the hierarchical set of islands corresponds to
the accelerator mode, we demonstrate by simulation that the breaking time
scales as $\tau_{\hbar} \sim (1/\hbar)^{1/\mu}$ with the transport exponent
$\mu > 1$ that corresponds to superdiffusive dynamics. We discuss also other
possibilities for the breaking time scaling and transition to the logarithmic
one $\tau_{\hbar} \sim \ln(1/\hbar)$ with respect to $\hbar$.
