Liz Kershaw describes how Savile's predilection for young girls was "an open secret at the BBC" and also of how her own complaints about being groped by a (unnamed) coworker, were dismissed. Evidence is beginning to stack up against the BBC that the corporation knew full well what was going on in alcoves in dressing rooms:

http://www.itv.com/news/update/2012-10-06/liz-kershaw-savile-claims-were-open-secret-and-another-dj-groped-me/

"Ms Kershaw, who now works for Radio 6 Music, said that when she joined Radio 1 in 1987 - the year Sir Jimmy left - his behaviour was an "open secret" at the station.
"The rumours were there, the jokes were there. It was an open secret," she told the BBC Radio 4 Today programme.
"Round Radio 1 everyone joked about Jimmy Savile and young girls. The main jokes were about his adventures on the Radio 1 Roadshow. It was massive then.
"There was one presenter who routinely groped me. I would be sitting in the studio with my headphones on, my back to the studio door, live on air, and couldn't hear a thing except what was in my headphones, and then I'd find these wandering hands up my jumper fondling my breasts," she said.
"I couldn't say anything, I couldn't even explain because I was broadcasting to the nation. When I complained to somebody they were incredulous and said 'Don't you like it, are you a lesbian?"'