Crossword Genius

Run repeatedly to bring last message (3-3)

Ross

I believe the answer is:

bye-bye

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

'last message' is the definition.
'bye-bye' can be an answer for 'message' (bye-bye is a kind of message). I'm unsure of the 'last' bit.

'run repeatedly' is the wordplay.
'run' becomes 'bye' (type of cricket run).
'repeatedly' indicates the doubling of some letters.
'bye' doubled is 'BYE BYE'.

'to bring' is the link.

Can you help me to learn more?

(Other definitions for bye-bye that I've seen before include "Cheerio" , "Ciao!" , "Ta-ta" , "See you" , "Informal repetitive farewell" .)

I've seen this clue in The Guardian.
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