What do you like best?
Tweriod gives you great insights on how your posts performing by day of week, and time of day. It's also free for basic use, which is a plus. Just give it access to your brand's Twitter handle and it's full steam ahead from there. My favorite thing about Tweriod is not only did it give me best time of day to post, but broke this out on a daily standpoint, weekday standpoint, and weekend standpoint.
What do you dislike?
The interface. The graphs and interface looks very elementary and needs to be improved, stat. Also, their payment model could really use some tweaking. There are some other tools out there that offer the same information in a much more attractive and organized design.
What business problems are you solving with the product? What benefits have you realized?
Depending on what field you're in, Tweriod can be very helpful if your audience has different behaviors from a weekend standpoint compared to a weekday standpoint. For example, I was able to find that our Twitter users dropped off Saturday and came up back on Sunday from an impression standpoint.