It is currently not possible to change CListView to use <ol><li></li></ol> for items if you also want to set other properties of <ol> than the class. For example in my project we want to set the start attribute and id of <ol>.

Using the template parameter it is possible to render a container tag at any way you like, however I cannot see a way to disable the default container <div>. So either the default container needs to gain an htmlOptions parameter so it can be configured or a way to disable rendering of it at all to not have a DOM node between <ol> and <li>.