The history formation and evolution of the Milky Way through cosmological time is a complex field of research requiring the sampling of highly accurate and reliable stellar ages for all the components of the Galaxy. Such highly reliable ages are starting to become available due to the synergy between asteroseismology, spectroscopy, and stellar modelling in the era of all-sky astronomical surveys. Relying on a sample of 227 field red giants in the Galactic disc sampled from the TESS Southern Continuous Viewing Zone, with a mean relative uncertainty on the stellar age of 22% from asteroseismology and precise chemical abundances from APOGEE DR16, we aim at finding the best possible Galactic chemical clocks. We proceed by comparing the evolution of the abundance ratios to those predicted by state-of-the-art Galactic evolution models. We identified new chemical clocks not previously considered in the literature. Finally, we addressed the hypothesis of the non-universality of chemical clocks using our sample of field red giants and compared our findings with recent results in the literature based on red-clump stars in open clusters.