This sort of binding (bi-directional) is on our road map in the future. Here is what you can do today. Create a Local Storage variable and bind it to an input component. That's binding one way. When you change the value in the component, add this code on value change event:
code
localStorage.setItem('locName', Tiggr('input').val());
/code
You may also look at backbone.js - it provides this and other functionality.
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Also it seems that not all localStorage variables show up for every page.
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Can you explain/show when this happens?