Windows 8 uses "tap" everywhere, which is infuriating for desktop users, who now know on which side Microsoft's bread is really buttered.
For the Web, usability guidelines have said since forever to avoid phrases like "click here", because you have no way of knowing how your page is being viewed now or might be viewed in the future. They were blithely ignored by designers and marketroids.
Normally, when a verb is called for, I say "hit this link" or "follow this link"; for buttons and menu items I say "say". E.g., "Enter your IP address, netmask, and gateway and then say OK."
Saying that, most people will know what "click here" means, regardless of the input type, so I wouldn't lose sleep over it.
Links => "follow"
[Nested] Menus => "navigate to"
Buttons => "press"
Other => "select"
A couple months ago, I was writing a balloon-tutorial system for an app with a desktop and mobile version. The desktop version had to have commands like "click this, then click that". The mobile version, "touch this, then touch that." Often, the text was otherwise identical.
But what do we write when the user could be using either, for example on Windows 8? "Clicking" a link with your finger sounds strange -- there's nothing clicking. And "touching" something with your mouse seems equally strange, almost as if it implied moving the mouse but not clicking. "Press" works for buttons, but not menu items or links. "Activate" just seems weird. And writing out "touch/click" is just unwieldy.
What to do?