I have published an update of my Giphy CLI tool with 'copy to clipboard' option. After the search result is displayed, you can now copy the url or markdown of the gif to clipboard. Or choose to open the giphy.com page in the browser.
If you have the .NET Core SDK installed, you can install with the follow command:
dotnet tool install --global GiphyCli
Did you try the tool? Let me know in the comments.