Recently new molecular based magnets Li2AMo3O8 (A = In and Sc), where Mo3O8 clusters form S = 1/2 triangular lattice Heisenberg antiferromagnet, were synthesized. Susceptibility, heat capacity, and 7Li NMR measurements reported that Li2InMo3O8 shows a long range magnetic order with so-called 120 degree structure at TN = 12 K, while Li2ScMo3O8 shows no magnetic order down to 0.5 K in spite of large Curie-Weiss temperature of -127 K. Magnetic heat capacity and magnetic entropy suggested that the ground state of Li2ScMo3O8 is quantum spin liquid. To understand the different ground state in In and Sc systems and nature of quantum spin liquid state, we propose to measure quantum spin dynamics in powder Li2AMo3O8 (A = In and Sc).