Rare-earth delafossites were recently proposed as promising candidates for the realization of an effective S = 1/2 quantum spin liquid on the triangular lattice [1, 2]. In contrast to the most actively studied triangular-lattice antiferromagnet YbMgGaO4, which is known for considerable structural disorder due to site intermixing, both NaYbS2 and KCeS2 delafossites realize structurally ideal triangular layers with no distortions. The absence of magnetic order down to 270mK temperatures strongly suggests that NaYbS2 compounds may realize the long-sought spin-liquid ground state. We propose to investigate these systems by means of zero field (ZF) and longitudinal field (LF) µSR experiments to test for the presence of static magnetism and to investigate the nature of the magnetism (static or dynamic) magnetic ground state.