The alum is being replaced by Christian Cooke, with his scenes to be reshot later this month.
Producers announced the news on Friday, adding that a new broadcast date would be revealed down the line.
In May 2009, he was attached to play Heathcliff in the film adaptation of Wuthering Heights.
However, in January 2010, director Peter Webber left the project, which was then passed into the hands of Andrea Arnold.
He made his feature film debut in Children of Men (2006) and has since appeared in the films Breaking and Entering (2006), Son of Rambow (2007), S. Edgar (2011), Romeo and Juliet (2013), Bone in the Throat (2015), Freaks of Nature (2015), and Billionaire Ransom (2016).