Meikle-Small is best known for portraying young Kathy H. in the 2010 film Never Let Me Go. She played the younger version of the actress Carey Mulligan, to whom she has a close resemblance.
In December 2011, Meikle-Small was also in the TV episodes of Great Expectations where she played young Estella and Vanessa Kirby played the older Estella.
She appeared in the 2012 film Private Peaceful as young Molly and young Ravenna in the 2012 fantasy film Snow White and the Huntsman. In July 2014, Meikle-Small played Molly in Pudsey: The Movie.