Tips: Players have to remember nine pieces of information - the four characters, the location, and the four deaths. Not for the faint of memory.
Gimmicks: Because each death is used once and only once, the game can become good-heartedly competitive for players to "get" the death they wanted. Players can "steal" a death from another - for example, as Player A is obviously setting up the opportunity to die, Player B can come in and somehow have the death be inflicted upon him instead. (Player A now has to find another death.) Players can also "give" a death to other players by setting them up with offers that lead towards a particular means of death.
A player can enter and almost immediately come upon their means of death.
The last player left can milk the scene for as much as they can - they're basically in soliloquy mode.