Ok, so you'll get regular Cmd+C when our Mac app is ready (we'll email you when it is), so yeah in the Chrome extension you have to right-click and click "copycopy this".
On Android, that little copycopy icon that pops up is a quick and simple way to confirm you want us to make your copied stuff universally available. As we keep everything you copycopy stored in your account, it helps to make sure we only store the stuff you intentionally want us to keep for you - and hitting that pop-up button should only take a split second.
On the desktop the interaction is similar: copy and hit the pop-up button, or simply copy twice in a row (that's why we're called CopyCopy!) which is also really fast and simple but confirms that you want that stuff copy and pasted via our service.