Reddit isn't going to check itself, so you're going to want a good app to get it done. BaconReader gained an immediate following when it was released a few years back, and that continued after it was acquired by OneLouder Apps. This popular client has just been updated to version 3.0, and there are improvements aplenty.
The headlining point is the new tablet UI with dual columns and better comment threading. You can also disable the tablet mode if you prefer the single-column style. Here's the full changelog for v3.0:
- AWESOME NEW tablet layout
- Load more comments in posts
- Added specify image save location
- Improved reset to Front Page bug
- Added popular Meme backgrounds
BaconReader is still one of the more attractive Reddit clients out there, and its performance is solid. You also can't argue with the price of zero dollars. This is another staged rollout, folks. Mash the refresh button all you want, it won't do any good.