We study exclusive dijet production in coherent diffractive processes in deep inelastic scattering and real (and virtual) photon-hadron (gamma((*))-h) collisions in the Color Glass Condensate formalism at leading order. We show that the diffractive dijet cross section is sensitive to the color-dipole orientation in the transverse plane, and is a good probe of possible correlations between the q _ q-dipole transverse separation vector rand the dipole impact parameter b. We also investigate the diffractive dijet azimuthal angle correlations and t-distributions in gamma((*))-h collisions and show that they are sensitive to gluon saturation effects in the small-xregion. In particular, we show that the t-distributionof diffractive dijet photo-production off a proton target exhibits a dip-type structure in the saturation region. This effect is similar to diffractive vector meson production. Besides, at variance with the inclusive case, the effect of saturation leads to stronger azimuthal correlations between the jets. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).Regular 2015FONDECYTFONDECYT