This intriguing promise is one of seven promises in Christ's letters to seven representative churches--promises made "to him that overcometh." Although there are various opinions as to who constitute these overcomers, 1 John 5:4 would indicate that "whatsoever is born of God overcometh the world: and this is the victory that overcometh the world, even our faith."
On this assumption, all who have been truly born again through faith in Christ will someday be given a new name by their Lord. No one will know what his new name will be until he receives it, and even then it may remain unknown to everyone else.
It would be reasonable to assume, however, that each new name will reflect the Lord's evaluation of the character and service of the one who receives it. We have the primitive examples of Abram, Sarai, and Jacob being given new names by God, perhaps to serve as types of this coming investiture. Abram became "Abraham" (meaning "Father of Multitudes"), Sarai became "Sarah" (meaning "Princess"), and Jacob became "Israel" (meaning "Prevailing Prince with God"). See Genesis 17:5, 15; 32:28.
Whatever each of our new names will turn out to be, our Savior will also know them, of course, and this will perhaps be how we will be addressed by Him from then on in the new earth. This should be a great incentive to godly living and faithful service here on this present earth, for we surely desire to receive a good name there from our Lord on the future earth. HMM