  We study finite temperature properties of metals close to an Ising-nematic
quantum critical point in two spatial dimensions. In particular we show that at
any finite temperature there is a regime where order parameter fluctuations are
characterized by a dynamical critical exponent $z=2$, in contrast to $z=3$
found at zero temperature. Our results are based on a simple Eliashberg-type
approach, which gives rise to a boson self-energy proportional to
$\Omega/\gamma(T)$ at small momenta, where $\gamma(T)$ is the temperature
dependent fermion scattering rate. These findings might shed some light on
recent Monte-Carlo simulations at finite temperature, where results consistent
with $z=2$ were found.
