  In this paper, we investigate the cut locus of submanifolds in a Finsler
manifolds, a natural generalization of Riemannian manifolds. We explore the
deformation and characterization of the cut locus, extending the results of
\cite{BaPr21}. We also obtain a generalization of Klingenberg's lemma for
closed geodesic (\cite{Kli59}) in the Finsler setting.
