I have an FSA compact crank on my bike (a 50-34).
When I had it installed, I had the shop put on the chain-keeper (is it a.k.a. "Anti-chain suck thang"? I seem to recall having that name in my head when I asked the shop for it. They knew what I was talking about at any rate.) I have no problem whatsoever with the chain dropping when going from the big to small ring (FWIW, it's a FSA SLK crank with a Dura Ace derailleur). Don't know if the keeper saves me, or if my bike is just adjusted okay. Maybe a bit of both?
Where I DO have problems is throwing the chain clear OFF the big ring of the crank and onto the crank arms when shifting up. That, however is "user error." I've learned to (1) be mindful of where my chain is on the cassette in back, as that has a bearing - centered is better), and (2) use a light touch. The DA shifters require a subtle touch, not the mashing I am used to giving.