Irritability about book, a compendium (5)
I believe the answer is:
bible
'a compendium' is the definition.
(both can mean a book of information)
'irritability about book' is the wordplay.
'irritability' becomes 'bile' (I've seen this in another clue).
'about' is an insertion indicator.
'book' becomes 'b' (abbreviation for book).
'bile' placed around 'b' is 'BIBLE'.
(Other definitions for bible that I've seen before include "Authoritative book" , "The Christian or Jewish scriptures" , "An authoritative text" , "Authoritative source" , "Holy books" .)