  LaCrGe$_3$ has attracted attention as a paradigm example of the avoidance of
ferromagnetic (FM) quantum criticality in an itinerant magnet. By combining
thermodynamic, transport, x-ray and neutron scattering as well as $\mu$SR
measurements, we refined the temperature-pressure phase diagram of LaCrGe$_3$.
We provide thermodynamic evidence (i) for the first-order character of the FM
transition when it is suppressed to low temperatures and (ii) for the formation
of new phases at high pressures. From our microscopic data, we infer that
short-range FM ordered clusters exist in these high-pressure phases. These
results suggest that LaCrGe$_3$ is a rare example, which fills the gap between
the two extreme limits of avoided FM quantum criticality in clean and strongly
disordered metals.
