Problem jazz fan picks up in gossip (8)
I believe the answer is:
chitchat
'gossip' is the definition.
('chitchat' can be a synonym of 'gossip')
'problem jazz fan picks up' is the wordplay.
'problem' becomes 'hitch' (I've seen this before).
'jazz fan' becomes 'cat' (I've seen this before).
'picks up' indicates putting letters inside.
'hitch' inserted into 'cat' is 'CHITCHAT'.
'in' is the link.
(Other definitions for chitchat that I've seen before include "Informal talk" , "Light informal conversation" , "Light social conversation" , "Trivial conversation" , "Idle nattering" .)