In the pyrochlore magnet Ce2Sn2O7, we have established that a correlated disordered ground state develops below about 0.6 K, and that the Ce3+ magnetic ions have both dipole and octupole degrees of freedom. Our magnetization and susceptibility data measured in this low-temperature correlated state can be interpreted using a mean-field model of correlated higher-order multipolar degrees of freedom. This idea agrees with the absence of magnetic scattering at low values of momentum transfer, in previous experiments using cold neutrons, which would have indicated correlations among the dipoles. We propose to look for signatures of hidden correlations from these multipoles using the time-of-flight spectrometer MERLIN.