This obsession's the norm - put out a broadcast! (8)
I believe the answer is:
paranoia
'this obsession's' is the definition.
The definition suggests a singular noun which matches the answer.
'norm put out a broadcast' is the wordplay.
I cannot really see how this works, but
'norm' could be 'par' (I've seen this in another clue) and 'par' is found within the answer.
'a' could be 'an' and 'an' is located in the answer.
This may be the basis of the clue (or it may be nonsense).
'the' is the link.
Can you help me to learn more?
(Other definitions for paranoia that I've seen before include "Insane suspiciousness" , "Feeling of persecution" , "Irrational fear or suspicion" , "baseless fear" , "Disorder characterized by delusions of persecution" .)