Detect if mobile browser supports overflow:scroll

Is there a simple JavaScript solution for this that is device- and library agnostic?

I'd like to add a class to the html element so I can deliver scrollable containers to mobile when possible.

This would be a similar approach that Modernizr takes, detecting feature support instead of browser detection. I just don't want to use the whole Modernizr framework. Trying to keep the JavaScript light for a mobile project.

Thanks!