I told my teenage daughters that when we went to Mexico, NONE of us were taking our cell phones. They had serious issues with it and were pretty pouty on the flight.
By day 3 the 16 year old came to thank me. Although she has no work stuff happening on her phone, she did not realize just how stressful it was to just make sure to keep up with friends and the constant electronic flow. She had a wonderful vacation away from her device, as did I. The 19 year old had a different reaction and ended up in an Internet Cafe for a couple of hours.
As satisfied as I was about this, I took my Blackberry on my summer vacation 8 months later "just in case" and spent quite a number of minutes each day reading Twitter feeds and work email. I broke my own rules!
It is deadly easy to become addicted to the digital flow. Especially if you have a pretty new device with a fast connection. Beware!