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Wiktionary
throw a sickie

alt. (context slang UK Australia New Zealand English) To take a day off from work for ill health (either real or feigned). vb. (context slang UK Australia New Zealand English) To take a day off from work for ill health (either real or feigned).

Wikipedia
Throw a Sickie

Throw a Sickie is a 12" EP by New Zealand band Tall Dwarfs released in 1986.