It really depends what you have tattooed on yourself and why. If it is obscene or blasphemous, God's not going to be particularly delighted. However, if it were tasteful and not excessive he isn't bothered at all. The criterion is not Leviticus but the leading of the Holy Spirit.
In Hebrew Leviticus is called Torot Kohenim (Instructions of the Priests) and contains a lot of regulations pertinent to the time, often prohibiting harmful or idolatrous practices prevalent among the Gentiles surrounding Israel. Cutting oneself is something still done by 'self-harmers'. See the point?
If we were to prohibit all tattoos today in imagined obedience to Leviticus, we would also have abstain from cutting our hair and beards as commanded in the previous verses. Men would all have to be circumcised and it would be a sin to eat lentil soup made with a ham bone, or eat a prawn cocktail, because pig and prawn are unclean. And I hope all the ladies out there remember to burn their bedding and any cushions they might sit on during their period - and remember that anyone they touch at that time is also unclean. And garments of mixed fabrics are forbidden so polyester-cotton shirts will see you burn in hell.
There are 613 regulations in Torah which are entirely binding on all who adopt the Law of Moses. However, in Galatians 3:10-14 Paul insisted:
'For as many as are out of works of the Law, these are under a curse; for it is written, "Cursed is everyone who does not continue in all things which are written in the Book of the Law, to do them."
'But that no one is justified by the Law in the sight of God is clear, for, "The just shall live by faith." But the Law is not of faith; but, "The man who does these things shall live in them."
'Christ redeemed us from the curse of the Law, being made a curse for us (for it is written, "Cursed is everyone having been hanged on a tree"); so that the blessing of Abraham might be to the nations in Jesus Christ, and that we might receive the promise of the Spirit through faith.'
In other words, if we want to shackle ourselves to the Mosaic law, Paul says, 'good luck to you, but you're bringing yourself under a curse that Jesus died to free you from'. The guiding factor throughout is mentioned in James 2:8 - 'If you fulfill the royal Law according to the Scripture, "You shall love your neighbor as yourself," you do well.'
Anything else is legalism.