Death is a major theme in the film. Encroaching water is the theme throughout, since the movie is set in a large valley surrounded by a high dam of melting ice.
The water contains what, a quick web search suggests, look like a Kronosaurus, a Liopleurodon and a whole load of Megapiranhas - all toothy, and hungry. There are a few scenes where the main characters are threatened by these underwater monsters.
Two notable deaths occur. The first is quite subtle, where a swimming glyptodont disappears and his empty shell resurfaces. The second is Scrat who, after a long fall into some gushing water, finds himself in Nut Heaven, only then to be revived by Sid.