The gifs would almost certainly be fair use. This is just like them putting the whole "This telecast is copyrighted by the NFL for the private use of our audience. Any other use of this telecast or of any pictures, descriptions, or accounts of the game without the NFL's consent, is prohibited."
You absolutely can use portions of the descriptions and accounts of the telecast (note: they're talking about the broadcasters..not some random person describing the game) under fair use.