Clustered quantum materials provide a new platform for the experimental study of many- body entanglement. Here we address a simple model featuring N interacting spins in a transverse field. The field can induce an entanglement transition (ET). We calculate the magnetisation, low-energy gap and neutron-scattering cross-section and find that the ET has distinct signatures, detectable at temperatures as high as 10% of the interaction strength. Unlike a quantum critical point, the signatures of the ET are stronger for smaller clusters.