  We elaborate on a recently found $SU(5)$ relation confined to the up-(s)quark
flavour space, that remains immune to large quantum corrections up to the TeV
scale. We investigate the possibilities opened by this new window on the GUT
scale in order to find TeV-scale $SU(5)$ tests realizable at the LHC. We
present a variety of tests, which appear as relations among observables
involving flavour violation or chirality flips and rely on the techniques of
top polarimetry, charm-tagging, or Higgs detection from cascade decays. We
discuss the cases of natural Supersymmetry and top-charm Supersymmetry as
example cases. We find that $O(10)$ to $O(100)$ events are needed to obtain
50\% of relative precision at 3$\sigma$ significance for all proposed tests.
