A nice alternative would be to have the charaters pay (spend in game currency E$) for a mind back up (yes, a save), in a special location (hospital ?).
If the game is open (like Oblivion and Skyrim), with plenty of things to do to earn cash, the price of the save should be fairly high.
If the game is more mission based, the price of the save may represent a good share of the mission reward.
All in all, in a Cyberpunk world, everything and every one is buyable.
The main problem with character death in video games is that the story is not infinite. The plot is the same, the outcome are the same and the missions / quests are the same. Final death of a character means making another character and do exactly the same things. Just try not to die.
If the game is able the handle the failure of the player and the coming of another character in the main quest, well, let them die.
The main obstacle to character death is that it is boring. Let maim them rather. Have them crippled or looted and left for dead in an alleyway. That is much more fun to have them rebuild themselves.
It is fairly easy to re-roll in a P&P game, it is not so interesting in a video game, simply because you can't piss on the dragon.