Hi,
You don't need to actually update their databases, why you wanna keep a copy in each customer's website? just give them a small java script code to embed it in their websites, this code will pull their results from your website and will be visible on their website, just make sure that each customer has an ID or something and let them pass it to the java script, in your website, read their ID and return their data!
Good Luck
Additional Information:
You may generate RSS Feeds for each customer, an easier way is to use Inline Frames (IFRAMES).
http://www.dyn-web.com/tutorials/iframes/[
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