The system 1T-TaS2 is a charge density wave (CDW) insulator below 180 K that has one residual spin 1/2 for every 13 Ta atoms in the modulated CDW structure. These spins and their surrounding structural modulations are arranged in a triangular lattice and the spins have been shown by muSR to remain dynamically fluctuating down to 70 mK, which is consistent with a quantum spin liquid (QSL) ground state. Previous ZF muSR and NQR studies have indicated a crossover between two QSL regimes taking place around 55 K, however the nature of these two phases is not yet established. We propose to characterise these two QSL states using a recently developed muSR technique that combines ZF and LF measurements to derive quantum critical exponents associated with the two phases. The results will be compared with those we have obtained on other QSL systems that show similar crossovers with temperature.