Go to My Favorite WEB Search Engine and enter in +"chrysotile" (including the '+' and ") then press Search. You'll get a TON of WEB hits on the subject. One of the first ones that come up was from The Asbestos Institute, among others. It may baffle you with BS or it may dazzle you with brilliance. Do check it out.
The types of sources I like to read that talk about contraversial (or potentially contraversial) subjects are ones from the universities. You can usually tell from what you read, in some cases, whether or not they're biased or not. THere's that 'tone' sometimes that tells you the funding for the research came from an industry advocate (or something). Governmental sources are usually reliable too (and there are some.) Do check these out too. As a last resort, perhaps your Tester can give some insight.