They get very little wave loading due to having semi-submersible hulls, much like an oil rig.
http://www.boschrexroth-us.com/country_units/america/united_...
It's used at sea for winches, but I'm sure platforms can compensate just as well with the proper force actuators and motion reference units.
Another is to use a semi-submersible rig. What that means is that you fill the bottom half or 2/3 of the vessel with water making it much heavier. That changes the way it rides in the waves and can dampen the effects that a wave has substantially.
http://en.wikipedia.org/wiki/Semi-submersible
Oil rigs are really only for drilling, not for getting the oil out of the ground and into whatever container there is. So that means they move around all the time. Like every couple of weeks.
What you're thinking of is called a jack up rig. They go in water up to a few hundred feet deep. Nothing over 1000 feet for sure. That's because the entire truss has to come out of the water when the barge is being moved from one location to the other.
I get nerd chills from the level of precision needed to bring a launch vehicle from hypersonic->subsonic speeds to a target that size, and land to reuse the vehicle.