Crossword Genius

Writer and broadcaster, one putting out a book (3)

Ross

I believe the answer is:

bbc

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'writer' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'broadcaster one putting out a book' is the wordplay.
'broadcaster one putting' becomes 'bc' (I am not sure about this - if you are sure you should believe this answer much more).
'out' indicates putting letters inside.
'a book' becomes 'b' (abbreviation for book).
'bc' placed around 'b' is 'BBC'.

'and' is the link.

Can you help me to learn more?

(Another definition for bbc that I've seen is " broadcasting service of the U.K.".)

I've seen this clue in The Times.
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