The Bible warns us against tattoos in Leviticus 19:28 (Amplified) which says, "Ye shall not make any cuttings in your flesh for the dead, nor print or tattoo any marks upon you: I am the Lord." The heathen nations did this, and God wanted his people to stand apart from them and not seek to imitate them.
I know some will have a hard time with this because tattooing has now become an accepted practice in our society. However, just because society approves of something does not make it right in God's eyes. "Trendy" and "Biblical" are usually opposites if not enemies.
Although the bible does not indicate if it is good to have tattoes, people are having bible tattoes on their bodies. They are designed in form of bible verses spiritual pictures. More details and pictures on bible tattoos can be found on www.zimbio.com/Bible+Quotes/articles/.../bible+tattoo