  We present a comprehensive Monte Carlo study of the ordering kinetics in the
$d=2$ ferromagnetic $q$-state clock model with nonconserved Glauber dynamics.
In agreement with previous studies we find that $q \geqslant 5$ is
characterized by two phase transitions occurring at temperatures $T_{c}^1$ and
$T_{c}^2$ ($T_{c}^2<T_{c}^1$). Phase ordering kinetics is then investigated by
rapidly quenching the system in two phases, in the quasi-long range ordered
phase (QLRO) where $T_{c}^2<T<T_{c}^1$ and in the long-range ordered phase
(LRO) where $T<T_{c}^2$; $T$ being the quench temperature. Our numerical data
for equal time spatial correlation function $C(\textbf{r},t)$ and structure
factor $S(k,t)$ support dynamical scaling. Quench in the LRO regime is
characterized by a crossover from a preasymptotic growth driven by the
annealing of both vortices and interfaces to an interface driven growth at the
asymptotic regime with growth exponent $n\simeq 0.5$. In the QLRO quench
regime, domains coarsen mainly via annihilation of point defects and our length
scale data for $q$ = 9, 12, and 20 suggests a $R(t) \sim (t/\ln t)^{1/2}$
growth law for the $q$-state clock model in the QLRO phase.
