  We show how angular asymmetries $\sim\cos 2\phi$ can arise in dipole
scattering at high energies. We illustrate the effects due to anisotropic
fluctuations of the saturation momentum of the target with a finite correlation
length in the transverse impact parameter plane, i.e.\ from a domain-like
structure. We compute the two-particle azimuthal cumulant in this model
including both one-particle factorizable as well as genuine two-particle
non-factorizable contributions to the two-particle cross section. We also
compute the full BBGKY hierarchy for the four-particle azimuthal cumulant and
find that only the fully factorizable contribution to $c_2\{4\}$ is negative
while all contributions from genuine two, three and four-particle correlations
are positive. Our results may provide some qualitative insight into the origin
of azimuthal asymmetries in p+Pb collisions at the LHC which reveal a change of
sign of $c_2\{4\}$ in high-multiplicity events.
