A Voice from the Past - Gregory the Great

Our Head, which is Christ, to this end has willed us to be His members, that through His large charity and faithfulness He might make us one body in Himself, to whom it befits us so to cling that, since without Him we can do nothing, through Him we may be enabled to be what we are called. From the citadel of the Head let nothing divide us, lest, if we refuse to be His members, we be deserted of Him, and wither as branches cast off from the vine. That we may be counted worthy, then, to be the habitation of our Redeemer, let us abide with the whole desire of our heart in His love.

Gregory the Great, 540-604 AD, Letters, Book XIV, Epistle XVII, To Felix, Bishop of Messana, (translated by Rev. James Barmby, The Nicene and Post-Nicene Fathers, Philip Schaff and Henry Wace, T & T Clark and Wm. B. Eerdmans Publishing, 1997, Second Series, Vol. XIII, p. 109).

What does it mean to remain connected to Christ? How do we accomplish this?