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Existence of new gauge U(1) symmetry possessed by dark matter (DM) particlesimplies the existence of a new Coulomb-like interaction, which leads toSommerfeld-Gamow-Sakharov enhancement of dark matter annihilation at lowrelative velocities. We discuss a possibility to put constraints on the suchdark forces of dark matter from the observational data on the gamma radiationin our Galaxy. Gamma-rays are supposed to originate from annihilation of DMparticles in the small scale clumps, in which annihilation rate is supposed tobe enhanced, besides higher density, due to smaller relative velocities $v$ ofDM particles. For possible cross sections, mass of annihilating particles,masses of clumps and the contribution of annihilating particles in the total DMdensity we constrain the strength of new dark long range forces from comparisonof predicted gamma ray signal with Fermi/LAT data on unidentified point-likegamma-ray sources (PGS) as well as on diffuse $\gamma$-radiation.

Gamma-ray effects of dark forces in dark matter clumps