Not much. One thing comes to mind" dying unto the world and especially oneself. It is a process, a life-long journey of purification, characterized by humility, and selflessness, ever more in harmony with God's will, ever-more Christ-like.
In fact, Orthodoxy defines being "saved" not by proclaiming Christ our Lord and Savior, but how Christ-like we have become following Him at the end of our journey.
There is also salvation from this evil age and from the flesh.
We would refer to that as sanctification, and it, too, is ours only by grace. It is the "loving God with all your heart, soul, mind and strength."
Wmfights is right to make the connection with theosis. "Christ in us the hope of glory."