Can CCC clone a Fusion drive and restore it to a new SSD? I have a 2012 Mac Mini with a 1TB Fusion drive. The noise of the spinning disk has been increasing lately and I want to replace it with a Crucial MX300 1TB SSD. 

Carbon Copy Cloner makes a complete image of my machine nightly. Can I use the latest clone and restore it to the SSD? Is it advised or would the removal of the Fusion drive require a clean install of macOS (Sierra)? I was wondering if the boot files would be different from using a Fusion drive, for example, or if anything would need a change in some settings files. 

I seem to remember that the version of OS X Yosemite was a little bit different between my Mini and my MacBook Air and that was due to the Fusion drive (couldn't download OS X on the Mini and boot it from a USB drive on the Air).
In answer to your question: YES.

By way of explanation... CCC makes a copy of the file system, which is independent of what physical drives the file system is on. for example you could make a clone of a boot drive on a RAID-5 array and then restore it to a single drive with no problems. 

The file system doesn't change just because it is on a different kind of physical media.