Paper put on the front of library books giving place in schedule (4,4)
I believe the answer is:
time slot
'schedule' is the definition.
(I know that Time slot is a schedule)
'paper put on the front of library books' is the wordplay.
'paper' becomes 'times' (The Times or The New York Times).
'put on' means one lot of letters go next to another.
'the front of' indicates taking the first letters (the letter at the front of the word).
'books' becomes 'OT' (abbreviation for Old Testament).
The first letter of 'library' is 'l'.
'times'+'l'+'ot'='TIME SLOT'
'giving place in' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for time slot that I've seen before include "Schedule period allocated to programme" , "It can be scheduled" , "Specified interval" , "limited period" .)