The good news for banks is that Poodle attacks are fairly easy to block. The first step for a company is to check its websites to see if they're vulnerable. There are a several free scanners that check for the presence of flawed encryption that allows it, such as https://www.poodletest.com.
Bank customers also need to defend themselves from Poodle attacks. To do so, they should use the latest versions of browsers, which are rapidly turning off any remaining SSL and only allowing only TLS. Microsoft, Google and Firefox have all committed to removing support for old encryption protocols. To turn off SSLv3, visit https://poodle.io/browsers.html and follow the step-by-step instructions.
Regardless of whether your online banking platform was found to be vulnerable to Poodle, ensure that communication with customers includes an explanation of under what circumstances and through what means you may contact a customer requesting a credential update. Phishing scams may result of the Poodle vulnerability. Instruct your customers to update their credentials directly through your bank’s website, and not by following links contained within emails.