As of Jenkins 1.437 (but I think this happened with earlier releases), when I created a Sectioned View (using the Sectioned View plugin), and add a 'View Listing Section', the 'Views' field does not work properly.

This then makes it not possible to use the UI to render the field or select any Views to display.

I believe this worked properly in Jenkins 1.421

I've tried with Firefox and Chrome and see the same issue.

Here's some sample text I see in a 'View Listing Section', in the Views field, using an OOTB Jenkins with only this plugin:
<input type="checkbox" name="views" json="All" /><label class="attach-previous">All</label>
<input type="checkbox" name="views" json="zzz" /><label class="attach-previous">zzz</label>