Dancer::Plugin::WebDAV provides the routes controllers to define routes for WebDAV. Just like the routes controllers any, get, patch, post, del, options and put.
Please making sure your server implementation accepts HTTP methods from WebDAV. The bin/app.pl coming along with the Dancer app skeleton uses HTTP::Server::Simple which has no support on WebDAV. Plack::Handler::Standalone, the default handler of plackup, does support WebDAV.