I have one, don't use it very much, but there are certain advantages. If SO has an e-book he wants to share and discuss, we can each read a copy on our own schedule. It's small and thin, fits easily into a handbag, so very convenient for waiting rooms, or reading in the car. You can have a large number of different books, so if you get bored or fed up with one, you don't have to go hunting in another room for a replacement. It only takes one hand to hold and won't suddenly close and lose your place if you get distracted, fall asleep or just need to put it down to swat a mosquito or dislodge a pushy cat.
Mostly, I still prefer a book, but it's nice to have options.