  We study incoherent diffractive dijet production in electron-nucleus deep
inelastic scattering at small $x_{\rm \scriptscriptstyle Bj}$ within the Color
Glass Condensate. We follow the general approach of [1] but we focus on the
correlation limit, that is, when the momentum transfer $\Delta_{\perp}$ and the
gluon saturation momentum $Q_s$ of the nucleus are much smaller than the
individual jet momentum $P_{\perp}$. We arrive at analytic expressions for the
dijet cross section, which can be written as a sum of four terms which exhibit
factorization: each such term is a product between a hard factor, which
includes the decay of the virtual photon to the $q\bar{q}$ pair, and a
semi-hard one which involves the dipole-nucleus scattering amplitude. We
further calculate the azimuthal anisotropies $\langle \cos 2 \phi \rangle$ and
$\langle \cos 4 \phi \rangle$. They are of the same order in the hard momentum
$P_{\perp}$, but the $\langle \cos 4 \phi \rangle$ is logarithmically
suppressed due to its dependence on the semi-hard factor. Finally, in order to
extend the validity of our result towards the perturbative domain, we calculate
the first higher kinematic twist, i.e. the correction of relative order
$\Delta_{\perp}^2/P_{\perp}^2$.
