edited Sept 1, see comment below
@WiZaxx
You will have to write a bit of javascript code to save and retrieve persisted data but it is pretty easy if your data is simple. The service to use is the HTML5 local storage. There are 2 options:
1) name-value pair storage
2) sql DB storage
Here is a good intro. Use google to find others.
Correction: The Test Center properly supports persisted local storage across sessions since 1.2. In my original reply I mistakenly stated that it did not.