I have had good luck with windlass tip-up's with no wind at all....
I second that. On days with no wind they become a combo tip down and tip up trap. Sometimes I'll have some small salmon fry or trout pushing the bait around and the sensitivity of these will show that down hole activity when the spring tension is balanced well. Other times it may be a finicky pike or laker mouthing the bait and spitting it out. It gets my attention to watch that one closely. When the wind is blowing they tend to outperform and outproduce my stationary baits. That motion is the magic; even just an inch or two. I use a hole cover with mine on many days to prevent candlestick icing on the line and keep the hole from filling in with blowing snow which is often present in windy conditions.
Many in this thread have mentioned using ice or snow on the base to anchor it in place. These traps have a bad tendency to "dive down the hole" due to their position on the ice and their narrow designed shape. To remedy that I drilled a hole at the back end of the base and screwed a 5/8" x 2" x 18" piece of varnished hardwood to it. I'll use the ice pieces or snow to anchor it in place if the wind is blowing. When transporting I just rotate the board lengthwise and its compact enough to take up very little extra space in the bucket. Be sure to make your cross board a few inches longer than the widest hole you will be fishing. ;)
The one significant vulnerability is freezing rain due to the exposed line reel and the exposed pivot points and line guide than will ice up. A condition that almost never occurs here in AK but Lower 48'ers and Canucks (no slang intended, e.g. Vancouver Canucks ;D ) may find those conditions challenging for this rig.
(http://www.alaskaoutdoorjournal.com/Iceshanty/12windjigger.jpg)