Close obscene broadcasting, offering redundancy (12)
I believe the answer is:
obsolescence
'redundancy' is the definition.
'close obscene broadcasting' is the wordplay.
'broadcasting' indicates an anagram.
'close'+'obscene'='closeobscene'
'closeobscene' with letters rearranged gives 'OBSOLESCENCE'.
'offering' acts as a link.
(Other definitions for obsolescence that I've seen before include "Process of becoming out of date" , "Out-of-date quality" , "going out of date" .)