Rubuta ci gaba ga wannan sakin layi - Davies ya lashe lambar zinare ta Olympics a tsalle mai tsayi a 1964 tare da alamar, ya sami kansa laƙabi "Lynn the Leap". Ya gama na tara a 1968, kasancewar shi ne mai ɗaukar tuta a bikin buɗewa. A cikin 1964 ya kuma yi gasa a tseren mita 100 da 4 × 100 mita
gasa. Ya kasance na 18 a tsalle-tsalle na Olympics na 1972, zaɓinsa ya zama abin mamaki a lokacin.