I'm using Snapshot for a full system backup, but how do I restore it to my computer if I need to? It's an ISO and will load from the thumb drive but if it simply dupes my system, I have no Install on my system.

Frankly, that's precisely what I would expect a snapshot (lower case) to do, but I've not used this bit of software.

A web search for "linux snapshot" will turn up many articles about using Snapshot, from restoring a complete install to restoring individual files. Since you're not exactly clear what precisely you are trying to do and why you are unhappy with a restored system, I hesitate to pick a specific one to recommend, so you may wish to check out a search yourself.

I'm not unhappy with a restored system. I just wanted to make sure I knew how to restore it. Actually, when I right clicked on the ISO Disk Image Writer popped up, yet I can't seem to find it on the terminal and it's not in the GUI. Any idea what the system name is? I mainly want to know it if comes with MX and read the helpfile. BTW, every google search turned up how to Make the image onto a thumb drive but not how to restore it. I assume a snapshot only copies the Linux file system, not the partitions or boot loader, or am I wrong?

Actually, it's an embarrassment of riches. There are so many different options to back up different stuff in different ways I'm not sure what is most useful or the safest backup.

I would put it on a USB with MX Live USB Maker, then fire it up and install. But I am sure there are other ways...

I've never heard of a snap creating an iso - but then I've never looked at MX.
So I went looking - and found this wiki page. How bizarre - see post #4 for best guess at using it.

The term "snapshot" is over-loaded enough without this throwing a spanner in the works.This is your starting point - you need to determine what you need backed up, and how you will want/need to restore. There are situations where the above is appropriate, but not many. Something more flexible where individual files can be restored is generally better. The balance between ease of use and functionality the enters the equation. I use several different tools, but most are based on rsync.

Sorry, just looked at OP again and see I had missed the thrust of your question. If you can load the snapshot, then press F4 and type