I created a plugin to both
highlight trailing spaces, and enable
deletion of those text regions. I'd rather use a plugin and a command bound to a shortcut than the auto-delete feature, as in some cases, trailing spaces must/should not be deleted (whether they're meaningful, or you're reviewing a script but won't touch it, and/or your auto-save feature would mess it up, and so on).
It's here:
https://github.com/SublimeText/TrailingSpacesIt's inspired by the bitbucket version above, but revamped and extended, leveraging ST2's new Plugin API, so I encourage you to use it instead of the old, broken version

Trailing spaces detection is basic and I'm using Linux, so please report any bug.