  We consider the adsorption kinetics of a regular block-copolymer of total
length $N$ and block size $M$ at a selective liquid-liquid interface in the
limit of strong localization. We propose a simple analytic theory based on
scaling considerations which describes the relaxation of the initial coil into
a flat-shaped layer. The characteristic times for attaining equilibrium values
of the gyration radius components perpendicular and parallel to the interface
are predicted to scale with chain length $N$ and block length $M$ as
$\tau_{\perp} \propto M^{1+2\nu}$ (here $\nu\approx 0.6$ is the Flory exponent)
and as $\tau_{\parallel} \propto N^2$, although initially the rate of coil
flattening is expected to decrease with block size as $\propto M^{-1}$. Since
typically $N\gg M$ for multiblock copolymers, our results suggest that the
flattening dynamics proceeds faster perpendicular rather than parallel to the
interface. We also demonstrate that these scaling predictions agree well with
the results of extensive Monte Carlo simulations of the localization dynamics.
