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.
  
 [quote:] 
 Also it seems that not all localStorage variables show up for every page. 
 [/quote] 
 Can you explain/show when this happens?