how do a save a clip

Maybe try working with subclips. Take the file into your source monitor, set in and out points around a section and go to clip/make subclip name it. This will make a clip in your project panel of just that portion. Do this for each section then you will have several clips in your project panel named that you can output.

I have an hours worth of video as one big file. I am breaking it up into clips to make the work easier. I can create the clip, I can rename it but I can't figure out how to save it.  This should be simple.

By @bettym6261460

Select the timeline and go to File > Export > Media. This will take you to the Export Settings dialog, that´s were you choose output codec and many other settings. This will create a new file and you original file will be left untouched.