  We report the low temperature magnetic properties of the pyrochlore
Pr$_2$Hf$_2$O$_7$. Polycrystalline and single-crystal samples are investigated
using time-of-flight neutron spectroscopy and macroscopic measurements,
respectively. The crystal-field splitting produces a non-Kramers doublet ground
state for Pr$^{3+}$, with Ising-like anisotropy. Below 0.5 K ferromagnetic
correlations develop, which suggests that the system enters a spin ice-like
state associated with the metamagnetic behavior observed at
$\mu_0H_c\sim2.4$~T. In this regime, the development of a discrete inelastic
excitation in the neutron spectra indicates the appearance of spin dynamics
which are likely related to cooperative quantum fluctuations.
