Hi,
I'm bringing this up again, because I had the following issue:
I had a staging site and a live site. At some point, I wanted to update the staging with all the changes in the live one (mostly content-related). So, I deleted the staging and cloned the live (btw, some sort of "clone update" might be an interesting feature). Also, I chose to keep the certificate of the staging, since I intended to use the same domain again.
Everything seemed to work fine, except the site links were still pointing to the live site instead of the staging, so I had to manually do a search and replace of the url.
Also, I had to turn ssl off and on again.