How to Cut a Video
If you need to cut a fragment from a video you can use 'Scissors' 
tool.
Upload video to your Video Feed, press 'Scissors' button, cut needed fragment of video with a quick selector and press 'Publish'.
If you need to get a few fragments of video at once, please use 'Export' button. This will export current fragment to a new video without closing an editor. You can name each fragment as you need to navigate easier. After closing editors all exported videos will be in your Video Feed.
After that, you just need to press the 'Get Code' button and paste the code into your CMS or text editor.
Advice
To make a fine tuning you can use your keyboard. Select left or right video selector and press ← or → on your keyboard. The selector will move backward or forward by one frame.
Advice
Also, you can put a mouse cursor to the timestamp on the right panel of the editor (first — minutes, second — seconds, third — frames) and using keys ↑ and ↓ on a keyboard increase or decrease numbers one by one
Also, you can use 'Duplicate' function to make a few videos. In Video Feed press 
button in a top right corner over your video and select 'Duplicate source' or 'Duplicate this fragment'.
Export
Use Export button to make a few fragments from video without closing an editor. Just select on a timeline needed fragment, press 'Export' and name a selected fragment. After confirmation, it will create a new video in your Video feed. Then move selectors to a new fragment and repeat a procedure. After export all needed parts you can close an editor (if you want to keep original video without changes just do not publish it). All videos you exported in previous steps will be in your Video Feed at the top. If not, just reload a Video Feed page with your browser.