"Gimme! Gimme! Gimme!" band (4)

I believe the answer is:

abba

(Other definitions for abba that I've seen before include "camel-hair coat" , "Old group" , "Coptic bishop's title; Swedish pop group" , "Group - father" , "1970s Swedish pop group" .)

I've seen this clue in The New York Times and the Universal.

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