Drunken priest shows lively wit (6)
I believe the answer is:
esprit
'lively wit' is the definition.
(I've seen this before)
'drunken priest' is the wordplay.
'drunken' indicates anagramming the letters.
'priest' is an anagram of 'ESPRIT'.
'shows' is the link.
(Other definitions for esprit that I've seen before include "Lively wit" , "What good corps needs" , "Vivacious wit" , "wit from France" , "Liveliness of mind or spirit" .)