This is a quote showing how TiddlyWiki is dealing with cross-browser compatibility using jQuery

The problem is the multitudinous ways it behaves in different

browsers, on different platforms. Browsers and platforms that are

always changing. IE, Firefox, Chrome, Opera, Safari on Linux, Windows,

Macs. Each with various version numbers. TW has code to help smooth

out the differences between javascript systems, but jquery is

considered to be more robust. Chaining the plugin code to jquery means

fewer worries for the developers going forward. Or at least that’s how

I read it.

via Bringing jQuery to TiddlyWiki release 2.5.0 – TiddlyWiki | Google Groups.