Delightful lady English fans have embraced - so good they cry (5,8)

I believe the answer is:

sweet caroline

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'fans have embraced so good they cry' is the definition.
The definition suggests an adverb but the answer is not.

'delightful lady english' is the wordplay.
'delightful' becomes 'sweet' (both can mean pleasant or nice).
'lady' becomes 'carolin' ().
'english' becomes 'E' (abbreviation).
'sweet'+'carolin'+'e'='SWEET CAROLINE'

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I've seen this clue in The Irish Times.

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