Do not air broadcast demonstrating cookery style (8)
I believe the answer is:
tandoori
'cookery style' is the definition.
'tandoori' can be an answer for 'style' (I have seen 'style of cooking' mean 'tandoori' so perhaps 'style' could also mean 'tandoori'). I am unsure of the 'cookery' bit.
'do not air broadcast' is the wordplay.
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'do'+'not'+'air'='donotair'
'donotair' with letters rearranged gives 'TANDOORI'.
'demonstrating' is the link.
Can you help me to learn more?
(Other definitions for tandoori that I've seen before include "Type of Indian cooking" , "Clay-oven cookery" , "dish" , "Food cooked Indian-style in clay oven" , "Cuisine" .)