  Heavy fermion metals hosting multipolar local moments set a new stage for
exploring exotic spin-orbital entangled quantum phases. In such systems, the
quadrupolar Kondo effect serves as the key ingredient in the orbital-driven
non-Fermi liquid (NFL) behavior and quantum critical phenomena. The cubic heavy
fermion superconductor Pr$Tr_2$Al$_{20}$ ($Tr$: Ti, V) is a prime candidate for
realizing the quadrupolar Kondo lattice. Here, we present a systematic study of
the NFL phenomena in PrV$_2$Al$_{20}$ based on magnetoresistance (MR), magnetic
susceptibility and specific heat measurements. Upon entering the NFL regime, we
observe a universal scaling behavior expected for the quadrupolar Kondo lattice
in PrV$_2$Al$_{20}$, which indicates a prominent role of the quadrupolar Kondo
effect in driving the NFL behavior. Deviations from this scaling relation occur
below $\sim 8$ K, accompanied by a sign change in the MR and a power-law
divergence in the specific heat. This anomalous low-temperature state points to
the presence of other mechanisms which are not included in the theory, such as
heavy fermion coherence or multipolar quantum critical fluctuations.
