  We propose a possible realization of the overscreened Kondo impurity problem
by a magnetic s=1/2 impurity embedded in a two-dimensional S=1 U(1) spin liquid
with a Fermi surface. This problem contains an interesting interplay between
non-Fermi-liquid behavior induced by a U(1) gauge field coupled to fermions and
a non-Fermi-liquid fixed point in the overscreened Kondo problem. Using a
large-N expansion together with an expansion in the dynamical exponent of the
gauge field, we find that the coupling to the gauge field leads to weak but
observable changes in the physical properties of the system at the overscreened
Kondo fixed point. We discuss the extrapolation of this result to a physical
case and argue that the realization of overscreened Kondo physics could lead to
observations of effects due to gauge fields.
