We investigate the behavior of interstitial Li+8 implanted near the surface of 2H-MoTe2 using β-detected nuclear magnetic resonance. We find that, unlike the muon, Li+8 does not show any signature of induced magnetism. This result is consistent with density functional theory, which identifies the Li stopping site at the 2a Wyckoff position in the van der Waals gap and confirms the absence of detectable Li-induced electronic spin polarization. Both the spin-lattice relaxation and the resonance line shape show evidence of pronounced spin dynamics above ∼200K, reminiscent of local stochastic Li+8 motion within a cage. The resonance line shape consists of quadrupolar satellites on top of a broad central peak. To better understand the interaction of Li+8 with the host material, we employ a frequency-comb measurement by simultaneously exciting four frequencies corresponding to the first-order quadrupolar satellite transitions, ν0±3νcomb and ν0±νcomb, around the Larmor frequency ν0 as a function of νcomb. This offers an enhanced sensitivity to the quadrupolar split portion of the line. Using this method, we find a small decrease in the quadrupolar frequency with increasing temperature, showing the typical behavior associated with thermally excited phonons and the absence of any magnetic response, in contrast to what was observed for other defects in 2H-MoTe2