I recommend the book " I Have an Elf Chip " to you. Although the male protagonist did not give the female protagonist a tattoo, the female protagonist in the story had an elf called " The King of Absence ". It was " born " from the female protagonist's chip. This book was a light novel, the original fantasy genre. It told the story of a young girl with an elven chip and the elves she tamed. I hope you will like this novel.