Bye-bye old Sue's poorly pets? (4-4,4)

I believe the answer is:
blue-eyed boys
'pets?' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.
'bye-bye old sue's poorly' is the wordplay.
'poorly' indicates an anagram (a poor spelling).
'bye'+'bye'+'old'+'sue'='byebyeoldsue'
'byebyeoldsue' with letters rearranged gives 'BLUE-EYED BOYS'.
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I've seen this clue in The Guardian.
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