What do you like best?
I really like its integration with other web analytics tools, such as Adobe (Test &) Target. It means I can play back sessions of users who see the control and variants, which is super useful.
What do you dislike?
We actually had issues integrating Clicktale with Omniture, although we eventually resolved it. We experienced a clash of cookies between the two tools, which meant the sessions in Clicktale weren't showing the right test experience (i.e. people who were allegedly shown the variant were appearing in the control bucket).
Recommendations to others considering the product
I'd take a look at a few others. We also use FullStory, which doesn't have as big a feature set, but it's cheaper and covers the basics well.
What business problems are you solving with the product? What benefits have you realized?
It helps add 'why' to the 'what', which adds a qualitative layer to our work. Analytics doesn't always give you a conclusive answer, so to be able to show actual humans doing stuff to prove our point in a real boon.