  Motivated by recent experimental observations of Kondo resonances in cobalt
atoms on single layer 1T-TaSe$_{2}$, we theoretically investigate the effect of
coupling a U(1) quantum spin liquid with a spinon Fermi surface to a lattice of
Anderson impurities. Within the slave-rotor formalism, we find that above a
critical coupling strength between the spin liquid and impurity lattice, the
spinons hybridize to form heavy quasiparticles near the Fermi level, realizing
a {\it spinon Kondo lattice phase} analogous to heavy fermion materials. Using
the Bethe-Salpeter equation and accounting for emergent gauge fluctuations, we
compute the spectral density and density of states, revealing the formation of
spinon-chargon bound states in the spinon Kondo lattice phase. We characterize
the thermodynamic and spectroscopic signatures of this phase, demonstrating
specific heat and neutron scattering responses distinct from a pure quantum
spin liquid. Our findings establish the spinon Kondo lattice as a framework to
study the rich physics of spin liquids.
