Following the recent isolation of monolayer CrI₃ (ref. ), many more two-dimensional van der Waals magnetic materials have been isolated^{, , , , , , , , , –}. Their incorporation in van der Waals heterostructures offers a new platform for spintronics^{, , , –}, proximity magnetism and quantum spin liquids. A primary question in this field is how exfoliating crystals to the few-layer limit influences their magnetism. Studies of CrI₃ have shown a different magnetic ground state for ultrathin exfoliated films^,, compared with the bulk, but the origin is not yet understood. Here, we use electron tunnelling through few-layer crystals of the layered antiferromagnetic insulator CrCl₃ to probe its magnetic order and find a tenfold enhancement of the interlayer exchange compared with bulk crystals. Moreover, temperature- and polarization-dependent Raman spectroscopy reveals that the crystallographic phase transition of bulk crystals does not occur in exfoliated films. This results in a different low-temperature stacking order and, we hypothesize, increased interlayer exchange. Our study provides insight into the connection between stacking order and interlayer interactions in two-dimensional magnets, which may be relevant for correlating stacking faults and mechanical deformations with the magnetic ground states of other more exotic layered magnets such as RuCl₃ (ref. ).