Diversions in father's newspaper (8)
I believe the answer is:
pastimes
'diversions' is the definition.
(I know this)
'father's newspaper' is the wordplay.
'father's' becomes 'pa's' (pa can mean dad or father).
'newspaper' becomes 'times' (The Times is an example).
'pas'+'times'='PASTIMES'
'in' is the link.
(Other definitions for pastimes that I've seen before include "leisure activities" , "Hobbies or diversions" .)