New priest given task, article relating to dancing (13)
I believe the answer is:
terpsichorean
'relating to dancing' is the definition.
(I've seen this before)
'new priest given task article' is the wordplay.
'new' indicates an anagram.
'given' is a charade indicator (letters next to each other).
'task' becomes 'chore' (synonyms).
'article' becomes 'an' (English indefinite article).
'priest' anagrammed gives 'terpsi'.
'terpsi'+'chore'+'an'='TERPSICHOREAN'
(Other definitions for terpsichorean that I've seen before include "of dance numbers" , "Related to dancing - chain store rep (anag)" , "Relating to dancing" , "become a dancer" .)