A year without books: one way to cause ill-feeling (9)
I believe the answer is:
antipathy
'ill-feeling' is the definition.
'a year without books one way' is the wordplay.
'year' becomes 'y'.
'without' indicates putting letters inside ('without' can be similar in meaning to 'outside').
'books' becomes 'NT' (abbreviation for New Testament).
'one' becomes 'i' (Roman numeral).
'way' becomes 'path' (path is a kind of way).
'a'+'y'='ay'
'nt'+'i'+'path'='ntipath'
'ay' going around 'ntipath' is 'ANTIPATHY'.
'to cause' acts as a link.
(Other definitions for antipathy that I've seen before include "Negative feeling" , "strong dislike" , "Feeling of deep aversion" , "Hostility - hint at pay (anag)" , "Opposition" .)