Father has unusual items offering interest (7)
I believe the answer is:
pastime
'interest' is the definition.
('pastime' can be a synonym of 'interest')
'father has unusual items' is the wordplay.
'father' becomes 'pa' (pa is a kind of father).
'has' is a charade indicator (letters next to each other).
'unusual' is an anagram indicator.
'items' anagrammed gives 'stime'.
'pa'+'stime'='PASTIME'
'offering' acts as a link.
(Other definitions for pastime that I've seen before include "Leisure pursuit" , "Hobby; regular activity" , "Hobby - recreation" , "relaxation" , "diversion" .)