  Magnetic susceptibility, magnetization, specific heat and positive muon spin
relaxation (\musr) measurements have been used to characterize the magnetic
ground-state of the spinel compound $\rm CuGa_2O_4$. We observe a spin-glass
transition of the S=1/2 $\rm Cu^{2+}$ spins below $\rm T_f=2.5K$ characterized
by a cusp in the susceptibility curve which suppressed when a magnetic field is
applied. We show that the magnetization of $\rm CuGa_2O_4$ depends on the
magnetic histo Well below $\rm T_f$, the muon signal resembles the dynamical
Kubo-Toyabe expression reflecting that the spin freezing process in $\rm
CuGa_2O_4$ results Gaussian distribution of the magnetic moments. By means of
Monte-Carlo simulati we obtain the relevant exchange integrals between the $\rm
Cu^{2+}$ spins in this compound.
