  The following theorem is proved:
  Let M be a locally Lipschitz hypersurface in C^n with one-sided extension
property at each point (e.g., without analytic discs). Let S be a closed subset
of M and f : M \ S ---> C^m \ E is a CR-mapping of class L^{\infty} such that
the cluster set of f on S along of Lebesque points of f is contained in a
closed complete pluripolar set E. Then there is a CR-mapping \~f : M ---> C^m
of class L^{\infty}(M) such that \~f |M\S = f. It follows also that S is
removable for CR \cap L^{\infty} (M \ S).
