Crossword Genius

A single short song going out to listeners (2,3)

Ross

I believe the answer is:

on air

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'going out to listeners' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'a single short song' is the wordplay.
'a single' becomes 'one' (a single thing - only one).
'short' means to remove the last letter.
'song' becomes 'air' (air can mean a piece of music).
'one' with its final letter removed is 'on'.
'on'+'air'='ON-AIR'

Can you help me to learn more?

(Other definitions for on air that I've seen before include "Broadcasting studio sign" , "In the act of broadcasting" , "In the process of broadcasting - floating aloft?" , "Walk in delight here" , "Broadcasting live" .)

I've seen this clue in The Guardian.
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