  We discuss the only two viable realizations of fermion compositeness
described by a calculable relativistic effective field theory consistent with
unitarity, crossing symmetry and analyticity: chiral-compositeness vs
goldstino-compositeness. We construct the effective theory of $\mathcal{N}$
Goldstini and show how the Standard Model can emerge from this dynamics. We
present new bounds on either type of compositeness, for quarks and leptons,
using dilepton searches at LEP, dijets at the LHC, as well as low-energy
observables and precision measurements. Remarkably, a scale of compositeness
for Goldstino-like electrons in the 2 TeV range is compatible with present
data, and so are Goldstino-like first generation quarks with a compositeness
scale in the 10 TeV range. Moreover, assuming maximal $R$-symmetry,
goldstino-compositeness of both right- and left-handed quarks predicts exotic
spin-1/2 colored sextet particles that are potentially within the reach of the
LHC.
