Adding to the towel twist method... if you carry a UL microfiber towel with you, like the MSR UL Towl, just lay the wet sock on the towel, and gently wring the sock out in the towel. Then do the same for the other sock. You can also use a bandana, but cotton bandana's don't dry out as fast as the UL towels.
The sock will still be damp, but it will dry a lot more quickly when hung up to dry, when put in your sleeping bag, or worn in your shoe. On rainy days, just stop and wring your socks out this way every now and then. It's keep your feet a little drier.