What do you like best?
I mostly enjoy the Videolytics, it allows you to quickly spy on your competition. The thumbnail generator is also quite useful, when you need a decent thumbnail done quickly. It won't replace Photoshop, but it does the job.
What do you dislike?
They had to get rid of the derived statistics, which were pretty cool estimate of various metrics on other videos.
Some of the greatest features, such as A/B Tests and Search Rankings are only in their top tier plans, but it's understandable.
Recommendations to others considering the product
Their free plan is amazing, you should try it out. I'm not really using their productivity tools, but the Videolytics and Channelytics are great for my needs and they can be found in the free plan too.
What business problems are you solving with the product? What benefits have you realized?
I mostly used it to spy on my competitors, it allows you to see what kind of engagement they're getting, what tags they're using, thus allowing you to replicate and improve their process.
The health report gives you a great overview of the channel, what keywords are bringing you view and a useful audience reports like demographics, regions, etc.
Their member perks are a nice bonus, I love Jukedeck and AudioHero.