What does the cryptic crossword clue "A new word formulated for 'overcome by persistence' (4,4)" mean?

The wordplay uses an anagram. anagram of A + NEW + WORD = WEARDOWN The answer is WEARDOWN.

A new word formulated for 'overcome by persistence' (4,4)

Daily Mail Cryptic #17207 | 21 Across | 2023-10-16 flower