The tension in the Hubble expansion rate as inferred from Planck CMB anisotropy data and that measured from the Cepheid-based local distance ladder is tantalizing due to its consistent inconsistency between early and late universe probes. One of the most precise alternative probes of the Hubble tension is the combination of the measurement of light element abundances generated from Big Bang Nucleosynthesis (BBN) and the Baryonic Acoustic Oscillations (BAO) in the clustering of tracers of the dark matter. In this talk I review the mechanism of this probe in order to give an intuitive understanding how exactly the probe determines the Hubble parameter, and what kind of assumptions this determination relies on (and how to break them). I also dive into the additional combinations that this probe benefits from, highlighting the most synergistic and promising avenues. Finally, I conclude with a discussion on the context and promising future of this probe.