I’m not sure why the version number on the plugin page hasn’t updated.
It’s the first time I’ve done a version update for a wordpress hosted plugin but I followed the instruction to the dime.
If you download it you will see that the file name is v1.1. I can confirm the code change is present in the file bw_mce_plugin.js:
bookmark = tinyMCE.activeEditor.selection.getBookmark();
tinyMCE.activeEditor.execCommand('bwUpdateScore');
tinyMCE.activeEditor.execCommand('bwCheckTerms');
tinyMCE.activeEditor.selection.moveToBookmark(bookmark);
The bookmark should reset the cursor after updating the scores and checking the preferred terms. I’ve confirmed it’s working with a copy of OS X Mountain Lion using Chrome and Safari and Firefox.
I don’t have access to a Chromebook but I wouldn’t expect the operating system to make much of a difference – although it could.