The 𝛽 ensemble is a prototypical model of a single-particle system on a one-dimensional disordered lattice with inhomogeneous nearest-neighbor hopping. The corresponding nonergodic phase has an anomalous critical energy scale, 𝐸𝑐: Correlations are present above and absent below 𝐸𝑐, as reflected in the number variance. We study the dynamical properties of the 𝛽 ensemble where the critical energy controls the characteristic timescales. In particular, the spectral form factor equilibrates at a relaxation time 𝑡R≡𝐸−1𝑐, which is parametrically smaller than the Heisenberg time, 𝑡H, given by the inverse of the mean level spacing. Incidentally, the dimensionless relaxation time, 𝜏R≡𝑡R/𝑡H≪1 is equal to the Dyson index, 𝛽. We show that the energy correlations are absent within a temporal window 𝑡R<𝑡<𝑡H, which we term as the correlation void. This is in contrast to the mechanism of equilibration in a typical many-body system. We analytically explain the qualitative behavior of the number variance and the spectral form factor of the 𝛽 ensemble by a spatially local mapping to the Anderson model.