Crossword Genius

Start to lose heart after fan rejects intro from Lady Gaga (8)

Ross

I believe the answer is:

overfond

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'gaga' is the definition.
Both the definition and answer are adjectives. Perhaps you can see a link between them that I don't see?

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Another definition for overfond that I've seen is " Loving too much".)

I've seen this clue in The Guardian.
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