Reduced dimensionality offers a crucial information in deciding the type of the quantum ground state in heavy fermion materials. Here we have examined stoichiometric CeCo2Ga8 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 (χ ∼ − ln T ), heat capacity (Cp/T ∼ − ln T ), and resistivity (ρ ∼ T n ) firmly confirm the non-Fermi liquid ground state of CeCo2Ga8. We studied the low-energy spin dynamics of CeCo2Ga8 compound utilizing zero field (ZF-) and longitudinal field (LF-) muon spin relaxation (µSR) measurements. ZF-µSR 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 CeCo2Ga8.