  Reduced dimensionality offers a crucial information in deciding the type of
the quantum ground state in heavy fermion materials. Here we have examined
stoichiometric CeCo$_{2}$Ga$_{8}$ compound, which crystallizes in a
quasi-one-dimensional crystal structure with Ga-Ce-Co chains along the
$c$-axis. The low-temperature behavior of magnetic susceptibility
($\chi\sim-\ln T$), heat capacity ($C_p/T\sim-\ln T$), and resistivity
($\rho\sim T^{n}$) firmly confirm the non-Fermi liquid ground state of
CeCo$_{2}$Ga$_{8}$. We studied the low-energy spin dynamics of
CeCo$_{2}$Ga$_{8}$ compound utilizing zero field (ZF-) and longitudinal field
(LF-) muon spin relaxation ($\mu$SR) measurements. ZF-$\mu$SR measurement
reveals the absence of long-range magnetic ordering down to 70 mK, and
interestingly below 1 K, the electronic relaxation rate sharply rises,
intimating the appearance of low energy quantum spin fluctuations in
CeCo$_{2}$Ga$_{8}$.
