If that is binding from Leviticus 19, then so are these...
==When you buy a property that has fruit trees, you can not eat the fruit for three years. The fourth year is to be an offering to the Lord. It is okay to eat the fruit the fifth year, but not the first four.
==Red meat is off limits.
==You can not trim the sides of your hair or beard.
==No cross breeding cattle.
==You can not have more than one vegetable in your garden.
==You can not wear clothes that have more than one type of fabric.
If you are basing the no tattoos argument off of Leviticus 19, all these are binding as well.