Here's how I'd do it, based on thomasrutter's suggestion (untested code):
function cloneObj(obj) {
var clone = {};
for (var i in obj) {
if (obj[i] && typeof obj[i] == 'object') {
clone[i] = cloneObj(obj[i]);
} else {
clone[i] = obj[i];
}
}
return clone;
}