  We discuss anomalous dimensions of top-partner candidates in theories of
Partial Compositeness. First, we revisit, confirm and extend the computation by
DeGrand and Shamir of anomalous dimensions of fermionic trilinears. We present
general results applicable to all matter representations and to composite
operators of any allowed spin. We then ask the question of whether it is
reasonable to expect some models to have composite operators of sufficiently
large anomalous dimension to serve as top-partners. While this question can be
answered conclusively only by lattice gauge theory, within perturbation theory
we find that such values could well occur for some specific models. In the
Appendix we collect a number of practical group theory results for fourth-order
invariants of general interest in gauge theories with many irreducible
representations of fermions.
