  Thomson scattering of the Cosmic Microwave Background (CMB) on moving
electrons in the outflows of Lyman Break Galaxies (LBGs) at redshifts 2-8
contributes to the small-scale CMB anisotropies. The net effect produced by
each outflow depends on its level of deviation from spherical symmetry, caused
either by an anisotropic energy injection from the nuclear starburst or quasar
activity, or by an inhomogeneous intergalactic environment. We find that for
plausible outflow parameters consistent with spectroscopic observations of
LBGs, the induced CMB anisotropies on arcminute scales reach up to $\sim 1
\mu$K, comparable to the level produced during the epoch of reionization.
