It is difficult to be clear about how far the end of the first Christian millennium was feared or welcomed, or even noticed.
Greek East and Latin West; The Church AD 681-1071, Andrew Louth
The system of dating years anno Domini was well-established in the West, but not universal in the East. In the East, time was measured from the year of creation, reckoned to have taken place about 5.500 years before the Incarnation.
In any case, some meaningful events had recently taken place or were soon enough to take place (or at least take root). Iceland was “converted,” and the granting of crown and kingly status was given to the rulers of Poland and Hungary. Monastic literature, primarily associated with Cluny, is full of a sense of foreboding as the end of the tenth century approaches – yet, living in anticipation of the age to come was the very essence of monastic living.....
Conclusion
The eleventh century saw the date that has come to be regarded as the date of the Great Schism between Greek East and Latin West: 1054.
Yes, there were the mutual excommunications. But these made no impact on Byzantine sources at the time, and in the West this event was not at all seen as final. The Great Schism is visible to us only in hindsight.
In 1965, Pope Paul VI and Patriarch Athenagoras revoked the anathemas of 1054.