limb noun ▶ on the limb in horse racing, said of a horse forced to the outside US
— George Sullivan, HarnessRacing, p. 104, 1964
▶ out on a limb in a difficult or exposed position US,1897
Labour MPs who went out on a limb to support the Iraq war are hopping mad that the back-bench rebel Chris Mullin has been rewarded with ministerial office. — NewStatesman, 30 June 2003