  We report magnetization, heat capacity, 7Li - nuclear magnetic resonance
(NMR), and muSR (muon spin roration) measurements on the honeycomb 4d5 spin
liquid candidate Li2RhO3. The magnetization in small magnetic fields provides
evidence of the partial spin-freezing of a small fraction of Rh4+ -moments at 6
K, whereas the Curie-Weiss behavior above 100 K suggests a pseudo-spin-1/2
paramagnet with a moment of about 2.2 muB. The magnetic specific heat (Cm)
exhibits no field dependence and demonstrates the absence of long range
magnetic order down to 0.35 K. Cm/T passes through a broad maximum at about 10
K and Cm=T^2 at low temperatures. Measurements of the spin-lattice relaxation
rate (1/T1) reveal a gapless slowing down of spin fluctuations upon cooling
with 1/T1=T^2.2. The results from NMR and muSR are consistent with a scenario
in which a minority of Rh4+ moments are in a ahort-range correlated frozen
state and coexist with a majority of moments in a liquid-like state that
continue to fluctuate at low temperatures.
