She inspires weary author regularly (5)
I believe the answer is:
erato
'she inspires' is the definition.
(one of the Greek muses)
'weary author regularly' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'weary'+'author'='wearyauthor'
The alternating letters of 'wearyauthor' are 'ERATO'.
(Other definitions for erato that I've seen before include "Source of artistic inspiration" , "Greek muse - orate (anag)" , "Muse of 11 and 23" , "Lyric poetry's muse" , "Greek muse of lyric and love poetry" .)