In my web app I need to give the user the option to save a js variable as a file (when the user clicks download, the app offers him to save a file, preffereably as .js file)
Check out Downloadify which allows exactly this.
Downloadify is a tiny JavaScript + Flash library that enables the generation and saving of files on the fly, in the browser, without server interaction.
it requires Flash installed in the user's browser to work, though.
I know of no other way of doing this without server interaction.