I finished college in 2010, so Instagram is the last social media app that doesn't make me feel like an old person lol. Missed out on the Snapchat wave by a year or two. I do use it a bit - I work at a university so I know a lot of student workers with their damn cars and music and Snapchats - but practically none of my close friends use it, so I never really got into it. It seems cool, though, I'd use it more if more of them did.
From my Old Person In Internet Years position, as apps like Messenger and iOS Messages and Whatsapp and etc continue to add multimedia features and time-sensitive content and whatnot, it seems that Stories are pretty much the last 'thing' that Snapchat really has. (And, well, the huge user base.)
Edit: If we're talking about "feel" on the "old man yells at cloud" level, I don't feel any better or worse about Snapchat than I do about any other social app.