I'd hope so. I don't know how it works legally, if applying for jobs of any kind in particular institutions require extra checks but I'd like to presume so.
Also, I noticed in a tweet about a newspaper headline tomorrow I noticed mention of multiple abuse/assault allegations at a school as well as hospitals and the BBC - when did he visit schools? did he give speeches at some career days event or something? I don't remember ever reading about him going to schools...hmmm.
The revelation that Savile abused pupils at regular schools (and quite a few different ones) is a new one alright.....apparently he used Jim'll Fix It as a vehicle for this.