  Four-fermion operators may have large anomalous scaling and become relevant
operators in some strongly interacting gauge theories. We present a detailed
model which illustrates some of the implications of such operators for the
generation of quark and lepton masses. Such operators would originate at high
scales where quarks and leptons experience a new strong interaction, but no
unbroken technicolor interaction is required. The breakdown of both the new
gauge symmetry and electroweak gauge symmetry is associated with a dynamical
TeV mass for fourth family quarks. Among the new physics signatures are
anomalous (chromo)magnetic moments and their flavor-changing counterparts.
