Jesus speaking here.
If God disapproved of it then, I would think He still disapproves of it.
In Revelation, the Antichrist causes all to receive a mark on their hands of foreheads in order to buy or sell.
Rev 13:16 & 17 16. And he causes all, the small and the great, and the rich and the poor, and the free men and the slaves, to be given a mark on their right hand or on their forehead, and he provides that no one will be able to buy or to sell, except the one who has the mark, either the name of the beast or the number of his name.Rev 14:9 - 11 Then another angel, a third one, followed them, saying with a loud voice, "If anyone worships the beast and his image, and receives a mark on his forehead or on his hand, he also will drink of the wine of the wrath of God, which is mixed in full strength in the cup of His anger; and he will be tormented with fire and brimstone in the presence of the holy angels and in the presence of the Lamb. "And the smoke of their torment goes up forever and ever; they have no rest day and night, those who worship the beast and his image, and whoever receives the mark of his name."
God says that if you receive this mark, you're eternally condemned. Not to say that any tatoo will do that but it appears that even at the end, God does not look favorably on it.