I'd actually go for permadeath.
That said, if you insist on bringing this up, you can introduce modern-time sci-fi elements such as ways to reanimate the body within a short period of time, or using T-Virus like components.
What purpose would reviving the character serve in your game precisely? How would it be approached from a Lore perspective?
The way I see it, people could react differently based on the amount of times you've been revived, sort of like if they were faced with Frankenstein sort of, except its progressive.
You could use a vampire-like approach, where the player is a sort of immortal in a way (after all, Vampires were scary at first because they appeared plausible).