Crossword Genius

People with successful records long to include one short snippet of song (9)

Ross

I believe the answer is:

achievers

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

'people' is the definition.
The answer is an example.

'successful records long to include one short snippet of song' is the wordplay.
I cannot quite see how this works, but
'one' could be 'i' (Roman numeral) and 'i' is present in the answer.
'long' could be 'ache' (to long for something is to ache for it) and 'ache' is found in the remaining letters.
The remaining letters 'vers' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'with' is the link.

Can you help me to learn more?

(Other definitions for achievers that I've seen before include "People who get things done" , "winners" .)

I've seen this clue in The Independent.
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