  We investigate multicomponent fermions in a flat band and predict
experimental signatures of non-Fermi liquid behavior. We use dynamical
mean-field theory to obtain the density, double occupancy and entropy in a Lieb
lattice for $\mathcal{N} = 2$ and $\mathcal{N} = 4$ components. We derive a
mean-field scaling relation between the results for different values of
$\mathcal{N}$, and study its breakdown due to beyond-mean field effects. The
predicted signatures occur at temperatures above the N\'eel temperature and
persist in presence of a harmonic trapping potential, thus they are observable
with current ultracold gas experiments.
