Here's a straightforward script for finding out the limit:
if (localStorage && !localStorage.getItem('size')) {
var i = 0;
try {
// Test up to 10 MB
for (i = 250; i <= 10000; i += 250) {
localStorage.setItem('test', new Array((i * 1024) + 1).join('a'));
}
} catch (e) {
localStorage.removeItem('test');
localStorage.setItem('size', i - 250);
}
}
Here's the gist, JSFiddle and blog post.
The script will test setting increasingly larger strings of text until the browser throws and exception. At that point it’ll clear out the test data and set a size key in localStorage storing the size in kilobytes.