We have alot of clay in our feilds. You can work clay like other feilds if the drainage is OK.
Dan O. is correct about plowing under crops to make the soil better. We plant annuals lik rye or oats, let them mature, then mow and plow them under. After three years - we've built up the organic matter in the soils to make them less like cement during the dry times, and most crops can be grown.
Our areas of poor drainage have proved impossible to deal with though. In parts of our area, the soil might only be a couple feet deep, then you hit limestone bedrock - and we have standing water problems on these areas. If the lay of the land does not allow water to drain off - there is little you can do. We are putting 2 acres into a pine stand this year for this very reason.