Real snoopers set out listening devices (8,7)

I believe the answer is:

personal stereos

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'listening devices' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'real snoopers set out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'real'+'snoopers'+'set'='realsnoopersset'
'realsnoopersset' is an anagram of 'PERSONAL STEREOS'.

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I've seen this clue in The Guardian.

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