In addition to what djrakowski said, you may also see an option to view the clip tray when long pressing inside a text entry box. This will let you see the last 20 (at least on my LG V20) things you copied to it. Not every app will give you this option, so you may need to play around to find an app that does. Chrome will bring up the option on the search box, but I've found the text boxes in individual websites may not give the option.
But there is no stock stand alone clip tray app you can use to bring it up. There may be a third party app in the Play store that allows it, but I haven't bothered digging into it more.