Byrne on the radio to interrogate local cook (9)
I believe the answer is:
chargrill
'byrne on the radio' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'interrogate local cook' is the wordplay.
'interrogate local' becomes 'char' (I can't justify this - if you can you should believe this answer much more).
'cook' becomes 'grill' (grilling is a form of cooking).
'char'+'grill'='CHARGRILL'
'to' is the link.
Can you help me to learn more?
(Other definitions for chargrill that I've seen before include "Cook with bare flames" , "Cook quickly at a very high heat" , "put on barbecue" .)