Amusewiki's primary concern is the text management and publishing. However, the commenting can be easily and efficiently outsourced to another application.

The suggested solution is Isso.

See the install and quickstart documents to get it installed and running.

On the amusewiki side, you need to decide where to allow comments. The admin interface provides a way to inject arbitrary HTML in the pages. You can add them to regular pages only, to special pages only, or both.