So Christ was Paul's life and he was dedicated to everything related to Christ. Likewise, every member of God's church should behave that way toward the Groom.
Now He is our life, which is another way of saying that we are sharers of His life. When Paul wrote in Ephesians 5:30, We are members of His body, of His flesh and of His bones, it expresses the same idea. So we are now viewing it from a slightly different angle and not so much from the perspective of spiritual union but through Christ's own consciousness, so to speak.
He is giving His life, sharing it, and we are brought into it, becoming an intimate part of His life. This is the part that we are in, the sanctification, where Jesus trains us and shapes us into what a bride should be for Him.