Meerkat does not archive video for later viewing.
If you share or comment on a live stream with '#katch' a 3rd party will save an archive of your stream to their YouTube account, after confirming with you on twitter that you want to do this.
You can also save a Meerkat stream to your camera roll, if it doesn't crash on you.
Periscope saves online for 24 hours.
I like how I can still watch an ended broadcast 24 hours after you broadcast, if you choose to make it public.
Image: Periscope. Recent archived online streams.
Note: With Periscope you must watch on an iPhone.
Periscope does save to camera roll, if you choose to.
Image: Periscope. Saved to camera roll