Continuity mistake: Just before Harrison takes his leap from the pipe in to the dam, Tommy Lee Jones tells him to put his hands up. When Ford puts them at head height, Jones then tells him to put them above his head. Ford does this from the far out shot, but when there is a close-up of his face, his hands are at head level. This occurs in a fraction of a second so there was no chance for him to move them.
Continuity mistake: Kimble arrives at a hospital to shave himself. He opens a drawer and places medicines on top of it. The amount and type changes between one frame and another.
Continuity mistake: After the bus crashes, Kimble unlocks his hands and throws the keys onto the floor in front of Copeland. Two shots later the keys are lying in a different position when Copeland grabs them off the floor.
Continuity mistake: When the landlord's son is arrested, it's snowing, and the following scene is during the St. Patrick's Day parade, with no snow on the ground. The only other time there was snow was when the other fugitive was arrested/killed, so they must have filmed that the same time of the year.
Continuity mistake: The prisoner starts foaming at the mouth and pulls the sharp implement from his sock, but when he is shot, he collapses back in his seat with no sign of the foam around his mouth.
Continuity mistake: Kimble puts the worker's uniform on over his prison uniform, but when he takes it off to tend to his wounds, we only see him remove the worker's uniform, with no sign of the prison uniform.
Continuity mistake: When the Marshals go to arrest Copeland, they are in Whiting, IN. When the Sheriff's car comes through, it is an Illinois State Police car.
Continuity mistake: When Kimble leaves the hospital and the detectives arrive, it's dark outside. However, when they're interviewing the nurse, you can see it's daylight outside.
Answer: It's a cold compress. You squeeze it, and the inner bag breaks mixing chemicals and it gets very cold. It helps to minimize swelling. He gave it to Kimball for all the bruises he had.
Grumpy Scot