Thermoplastic heat shrinkable tension film with low shrink propoerties

A multilayer oriented heat shrinkable film is disclosed, which includes a core layer including a linear random ethylene/styrene copolymer comprising between 61% and 85%, by weight of the copolymer of styrene; and first and second outer layers including an olefinic polymer; wherein the film has a Young's modulus between 50,000 and 200,000 psi, free shrink between 40 and 80% at 240 degree F, and shrink tension of between 50 and 400 psi, or a shrink force of between 20 and 180 grams, at 240 degree F and a haze of less than 6. First and second intermediate layers including an ethylene copolymer having a melt index less than 2.0 can be optionally included. Other alternative embodiments are disclosed herein.