Crossword Genius

Red Maxim broadcast on radio (4)

Ross

I believe the answer is:

sore

I'm a little stuck... Click here to teach me more about this clue!

'red' is the definition.
(thesaurus)

'maxim broadcast on radio' is the wordplay.
I cannot quite see how this works, but
'on' could be 're' ('on' can be mean 'with reference to') and 're' is present in the answer.
The remaining letters 'so' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for sore that I've seen before include "To be very old" , "Raw place (on the body)" , "Bruised" , "Painful - resentful" , "Painful, or the source of pain" .)

I've seen this clue in The Times and The Sunday Times.
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