Run out of more books for living (6)
I believe the answer is:
extant
'living' is the definition.
(similar in meaning)
'run out of more books' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'out of' indicates named letters should be taken away ('out of' can mean no longer having).
'more' becomes 'extra' (I've seen this in other clues).
'books' becomes 'NT' (New Testament).
'extra' with 'r' taken out is 'exta'.
'exta'+'nt'='EXTANT'
'for' acts as a link.
(Other definitions for extant that I've seen before include "Still present and existing" , "Still in existence, surviving" , "Currently in existence" , "Net tax still existing, not gone" , "left" .)