A lot of tattooists will apply Second Skin or some variety now, depending on the place. I got a forearm tattoo recently and they put a big square of this on and it was unreal – just set and forget for a week, take it off and it is more or less healed.
Some interesting stuff happens too – you get a “bag” of ink and fluid caught in the thing which eventually dries out when it’s time to remove it, kinda gross but fun and aids in healing.
I would probably advise against putting it on yourself though if the tattooist doesn’t – unless you can ensure it is fully sterile. It really seals everything in so if you catch some nasties they will get in there and infect it.