The definition of a save is very broad. If the tying run is due to be on deck, then he gets the save (or something like that). Therefore, if he came in with the bases loaded, and 2 outs, then the on-deck batter would be the tying run. And he gets the save. It's not just a clear-cut "you get a save if you come in with a lead of 3 or less runs". There are very weird rules for how to get a save.
"Jack, will you call me, if you're able?"
"I've got your phone number written, in the back of my Bible."