It doesn't look like Tinder is going to allow just using a pre-made GIF on your profile, but it seems as if Tinder will now allow you to record a loop of yourself to display more personality than what you present in just a still photo.
They announced today, "That’s right, you get two seconds of looping video to show more personality, which is the best way to get more right swipes. You can be flirty, you can be fun, but no matter what, be you. And be quick about it, because everyone who’s anyone will be showing off their moves."