My Asus UX31A laptop/ultrabook has an extremely loose Micro HDMI port. It's so loose that I could barely get it to work and even when I could, it provided a horrible video signal and would usually disconnect after a few minutes. I guess this is a common problem on this laptop but two others I know with the same laptop don't have this problem.
The solution I found is item #7603 at monoprice.com. It's a "portsaver" that supposedly has a "very snug fit". In my laptop, it feels like a normal cable should. The best part is that it only costs $4.08.
I haven't tried item #7703, but from the description, I'd guess it would work too, and it only costs $3.74.
So if you have a loose micro HDMI port, you now have two possible solutions.