Well, on second search and meditation on the scripture, you will discover that tithing didn't begin with the Law or the Levitical priesthood.
Scripturally, Tithing is Pre-Law, 'In-Law', and Post-Law. Tithing started by faith, continued in the Law and continues after the Law.
Here is what I mean, our father Abraham(the Father of Faith), was not under the Law, but he paid Tithe to Melchisedec, the priest of the Most High God. Then In the Law, it was also integrated into God's commandments. Then after the Law, the word of God tells us that Jesus was made a priest after the order of Melchisedec. And of course, Melchisedec, collected tithe. Hence, the bible tells us that Jesus also receives our tithes above.
I am not assuming this or philosophizing let's see what the word God says concerning this:
Hebrews 7:
[FONT="]1 For this Melchisedec, king of Salem, priest of the most high God, who met Abraham returning from the slaughter of the kings, and blessed him;[/FONT]
[FONT="]2 To whom also Abraham gave a tenth part of all; first being by interpretation King of righteousness, and after that also King of Salem, which is, King of peace;[/FONT]
[FONT="]3 Without father, without mother, without descent, having neither beginning of days, nor end of life; but made like unto the Son of God; abideth a priest continually.[/FONT]
[FONT="]4 Now consider how great this man was, unto whom even the patriarch Abraham gave the tenth of the spoils.[/FONT]
[FONT="]5 And verily they that are of the sons of Levi, who receive the office of the priesthood, have a commandment to take tithes of the people according to the law, that is, of their brethren, though they come out of the loins of Abraham:[/FONT]
[FONT="]6 But he whose descent is not counted from them received tithes of Abraham, and blessed him that had the promises.[/FONT]
[FONT="]7 And without all contradiction the less is blessed of the better.[/FONT]
[FONT="]8 And here men that die receive tithes; but there he receiveth them, of whom it is witnessed that he liveth.[/FONT]
[FONT="]9 And as I may so say, Levi also, who receiveth tithes, payed tithes in Abraham.[/FONT]
Hence, to say Tithing is under the Law, and therefore no longer relevant in the new covenant is not scripturally true.