In his legendarium, Tolkien presents four variants of what would be considered "classicism" in the Primary World: but the presence of all-but-immortal elves creates situations in which a classicizing devotion to ancient exemplars might not arise.
Houghton, John Wm.
"Tolkien's Calques of Classicisms: Who Knew Elvish Latin, What Did the Rohirrim Read, and Why Was Bilbo Cheeky?,"
Journal of Tolkien Research: Vol. 11:
2, Article 7.
Available at: https://scholar.valpo.edu/journaloftolkienresearch/vol11/iss2/7