I have zero use for it as well, except for stalking it for pics of my kids (which I screen shot for Project Life). I wanted to give it a shot for a week or so to see if I liked it (and if I used it more, I would remember to check my kids' stories more often). A few of my kids' activities are going to Snapchat for their social media posting as well. My daughter's dance company is very formal and professional in their social media posts on FB and Instagram, but on their brand new Snapchat, they were posting fun, informal photos and videos from yesterday's Cubs day. My son is part of School of Rock and when went he went with them to perform at Summerfest in Milwaukee, they posted videos all day of the performances. Previously they had all be posted on Instagram, but this summer they made the switch to Snapchat.
After making an effort to use it for a week, I have concluded that I'm really not a fan. I enjoy looking at things on Snapchat, but I do not enjoy posting. As a scrapbooker, I do not like making the choice between taking a lower quality Snapchat photo or just taking a photo with my phone's camera. I know I can upload photos from my camera roll, but that somewhat defeats the whole purpose. I'm also not into selfies.
Although I enjoy watching people's stories, I do not like getting direct snapchats. Call me old and slow, but by the time I figure out why I've been sent a photo, it's gone. My daughter likes to show me clothing options this way when she's out shopping, but by the time I figure out why she's sent it, it's already gone and I can't advise as to whether or not she should buy something.
I will keep it for the reason above (the new social media for my kids activities) and because my daughter prefers to communicate this way with me... but I doubt I will use it much otherwise.