  We discuss a model Kondo-type Hamiltonian representing an analytically
tractable version of the model used by Yin {\it et.al.}, Phys. Rev. B{\bf 86},
2399 (2012) to explain the non-Fermi liquid behavior of iron chalcogenides and
ruthenates in an intermediate energy range. We consider a regime where a
complete screening of the local degrees of freedom proceeds in two stages
described by two characteristic energy scales $T_K^{orb} >> E_0$. The first
scale marks a screening of the orbital degrees of freedom and the second one
marks a crossover to the regime with coherent propagation of quasiparticles. We
present analytical results for the specific heat and magnetic susceptibility at
$T << T_K^{orb}$.
