I’m just wondering because I’m a very loyal Halo: Reach player, and I just want to see my stats and what the challenges are whenever I’m with my Kindle (most of the time).
You would have to root your Kindle Fire to gain access to the Android Marketplace in order to get Halo Waypoint, but that’s a, rather, difficult process.
Oh and welcome to Halo Waypoint.
I found out the former earlier. It process was rather tedious as well as unsuccessful. As for the latter, thank you for having me. 
I would love to see a Waypoint app officially released for the fire.