And the thing is, his Wikipedia article shows things that he had been under scrutiny before:
Savile claimed the key to his success on Jim'll Fix It had been that he disliked children, although he later admitted to saying this to deflect scrutiny of his personal life. He did not own a computer as he did not want anybody to think he was downloading child pornography. In April 2000, in the documentary by Louis Theroux, When Louis Met Jimmy Savile, Savile acknowledged "salacious tabloid people" had raised rumours about whether he was a paedophile, and stated that "I know I'm not."
In 2007, Savile was interviewed under caution by police investigating an allegation of indecent assault in the 1970s at the now-closed Duncroft Approved School for Girls near Staines, Surrey, where he was a regular visitor. The Crown Prosecution Service advised there was insufficient evidence to take any further action and no charges were brought.
In March 2008, Savile started legal proceedings against The Sun newspaper which had linked him in several articles to the child abuse scandal at the Jersey children's home Haut de la Garenne. Savile denied visiting Haut de la Garenne, but later admitted that he had done so, following the publication of a photograph showing him at the home surrounded by children. The States of Jersey Police said that in 2008 an allegation of an indecent assault by Savile at the home in the 1970s had been investigated, but there had been insufficient evidence to proceed.
In 2009, Savile publicly defended the convicted paedophile pop star Gary Glitter saying that "he just watched a few 'dodgy films' and was only vilified because he was a celebrity... It were for his own gratification. Whether it was right or wrong is up to him as a person. But they didn't do anything wrong."
I've lived for over 2000 years, and not all of them were good ones. I've made many mistakes. And it's about time I did something about that.
-The Twelfth Doctor, Doctor Who: Deep Breath