The magnetic susceptibility of ${\mathrm{Eu}}_{x}{\mathrm{Sr}}_{1\ensuremath{-}x}{\mathrm{As}}_{3}$ spin-glasses is highly anisotropic: For $x=0.24$ and $x=0.3$ the longitudinal and transverse susceptibilities (with respect to the orientation of magnetic moments in antiferromagnetic Eu${\mathrm{As}}_{3}$) exhibit spin-glass-like maxima at different temperatures, with the longitudinal freezing occurring at higher temperature. The magnetic specific heat displays a temperature dependence not previously found in spin-glasses, ${C}_{M}=aT \mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\Delta}E}{{k}_{\mathrm{B}}T})$. This indicates a gap around zero energy in the density of states of magnetic excitations, which arises from the anisotropy.