BBC: Genesis 2:23-25
Then the man said, “This at last is bone of my bones and flesh of my flesh; she shall be called Woman, because she was taken out of Man." Therefore a man shall leave his father and his mother and hold fast to his wife, and they shall become one flesh. And the man and his wife were both naked and were not ashamed. - Genesis 2:23-25
This passage of Scripture only works to help demonstrate the poetic nature of this chapter before heading its the purer historical narrative of the rest of the book. The opening portion is sufficiently similar to the previous verses. God did not seek to create woman out of man but used and established the natural order of life being brought forth from life. This typologically points to Christ, His bride and Paul's application to husbands not hating their own flesh (Eph 5:29-30).
The naming of Eve requires a brief statement. Adam calls her 'ishshahfrom his name 'iysh. The bride takes the name of the Husband. And we as the church should be proud to take the name of Christ and suffer for it (1 Pet 5:14).
The next verse must be seen as written by Moses long after the marriage practices of man were established. This points back to the order of God. And God placed it in the order to point to Christ. Paul, using a shorthand of "you've heard it said but I say to you...", points the fulfillment and purpose of this passage to be found in Jesus Christ and the church (Eph 5:32).
*The Bible Blogging Commentary is a slow and simple treading of the Scriptures. No quotes from other theologians and no explicit Greek/Hebrew lessons.*