You probably don’t want search engines to find your staging site – after all, it is your private playground.
We do everything that we can do to block search engines. WordPress has an option to “discourage search engines from indexing this site” which is automatically turned on on all staging sites (and turned back off when you import your changes). In addition, we don’t allow known search engine bots to access the staging servers. If any new or renamed bots start indexing, we might not have them blocked yet.
Our aggressive search engine blocking can cause problems if you want to use some site analyzing tools. For instance, Google Webmaster tools will not be able to analyze your site. We eventually plan to create an option so that you can allow bots to access your site, but for now, if you need this, you will need to contact us.