The use of multilayer heat shrinkable film for advantageous high shrinkage but low shrinkage force is combined with the use of recycle scrap of such film to provide multilayer heat shrinkable film retaining these advantageous properties. Exemplary of the film is a core of a blend of certain linear low density polyethylene with certain highly branched low density polyethylene sandwiched between two relatively thin outer layers of propylene/ethylene copolymer, with the core also containing recycle scrap of the multilayer film.