I know the thread is old but anyway:
if you mean brief jumping behavior during initial page load:
I observed this in FF 3.0.15
you can use the document.ready function to initialize the script something like so:
$(document).ready(function () {
... [your code here]...
});
so you can set the initial visibility of your tabstrip or its container to false in the saved html file, then your jquery document ready function should be something like:
$(document).ready(function () {
[decorate tabstrip with your code]
[set visibility of your tabstrip or its container to true]
});
you can read more about that event here
http://docs.jquery.com/Events/ready
You could create a div with a specific height around the tabstrip or its container to serve as a non-shifting placeholder so changing the visibility of the tabstrip or its container doesn't affect the rest of the page display while loading and prior to the document.ready function call...