In general you will do more front chainring shifting to find the right gears on a Compact double. Lots of back and fourth. You will most likely have larger jumps between gears as well. Depends if you run a straight block or wide block rear cassette.
I have both setups. On my race bike I have compact, and on my century, rando, having fun bike I use the triple.
I prefer the triple because I spend 90% of my time in the 39 tooth ring which for me mean a lot less shifting. I use the 50 tooth ring for tailwinds and downhill riding, and the 30 tooth small ring for climbing in the mountains. To me its the best of both worlds, but then again it does weight a few ounce more.
