Modernizr does not define a default property, but you can add your own test to it.
Just call this code anywhere:
Modernizr.addTest('overflowscrolling', function() { return Modernizr.testAllProps("overflowScrolling"); });
after the call, your body element will either have an overflowscrolling class or no-overflowscrolling class, and you can check the support at Modernizr.overflowscrolling .
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