There are several methods and techniques that come handy in the case you need to call an external resource periodically or if you are waiting for a server push, but I present here an easy and straightforward one using HTML5's Server-Sent Events (SSE).
A lot of people have written posts on integrating Yii and WordPress. This article combines goncin's approach with an article I read about integrating Symfony and WordPress and applies it all to Yii and WordPress.
If you have to display a overview of related data in a table,
you can use the CListView, create your view with table/tr/td tags
and implement db-queries in the view to display detaildata of the current (master-)record.