There are at least two artists named Headless Chickens: 1) a British punk band from Exeter, England, whose members included Thom Yorke 2) a New Zealand band that made extensive use of electronic instruments 1) Headless Chickens was a British punk band from Exeter, England, whose members included Thom Yorke (guitar and vocals), Simon Shackleton (bass and vocals), John Matthias (violin), Laura Forrest-Hay (violin), Martin Brooks (drums), Andy Hills (bass) and Lindsey Moore (drums).