At the heart of understanding collective phenomena in condensed matter physics is the search for emergent phases of matter formed by strong frustrations in geometrically frustrated quantum magnets. Unlike conventional magnets, their low energy state is unstable against thermal or quantum fluctuations as well as other perturbations because a macroscopic number of different arrangements of spins can minimize energy. A massive degeneracy can be lifted through multistage processes to have novel phases with partial degeneracy. Here we address this issue by investigating the breathing pyrochlore compounds LiACr4O8 (A=Ga, In), in which small and large Cr3+ (S=3/2) tetrahedra are regularly arranged in an alternating pattern using muons spin resonance.