The scene with the gutted-Casey dummy hanging from the tree was time compressed in the theatrical film release. But in the director's cut of Scream, it is 50% slower and at normal speed.
In the director's cut of Scream, Tatum's head is flattened by the beam, following her confrontation with the killer in the garage. The scene was cut from the theatrical version because of the MPAA.
After Kenny the cameraman's throat is cut, he looks up at his killer. This scene was taken out due to the MPAA, but can be seen in the director's cut of Scream.
Shots of Billy clearly losing control as he delivers his final cuts to Stuart are included in the director's cut of Scream. It was not seen in the theatrical film release probably because of time restraints.
When Father Death chases Sidney upstairs to her bedroom, they filmed a shot where the killer gets hit in the head by a picture and falls down the stairs. But they decided not to put that in the final cut because it would make him seem more like a "clown".
On the computer, Sidney contacts 9-1-1 when the killer tries to get into her bedroom. A scene that was cut at that sequence due to time restraints, was Sidney typing in "34 Elm Street", a reference to Wes Craven's A Nightmare on Elm Street (1984).