Leighton was arrested on 20 July accused of contaminating the saline drips which resulted in the death of seven patients at Stepping Hill Hospital.
She was later charged with six counts of causing damage with intent to endanger life.
On 2 September, and after six weeks in Styal Prison, Leighton was released and all charges were dropped.
Clifford believes Leighton has faced a ‘trial by media’ and will employ similar tactics to ones he used to help Robert Murat, the Algarve-based property consultant falsely suspected of involvement in the Madeleine McCann disappearance.
Clifford helped Murat win around £700,000 in libel settlements, mostly from tabloid newspapers.
‘Rebecca was found guilty by the media, not a court of law,’ he said. ‘There have been cruel and terrible things written about her and now we have to get her name cleared.’
Clifford is planning to book Leighton on TV, radio and exclusive print interviews to tell her side of the story. Plus, also look into possible compensation from Greater Manchester Police and the media.
He said: ‘Once the public can look in her eyes and see the lovely girl that she is we will be able to change their perceptions of her. We will have Rebecca talk about how she and her family have been badly treated by the media and fight back against the poison that has been written about her.’
Separately, Clifford is also advising Manchester City chief executive Garry Cook. Cook is understood to be flying today to Clifford's Marbella holiday home after the story broke of an email sent from his account apparently mocking the battle against cancer of City player Nedum Onuoha's mother.
Cook claims his email account was hacked. The Sun this morning said Cook was 'fighting for his job'.
Meanwhile, Clifford is also representing Jesse Wallace’s jilted fiancé Vince Morse.