Not to be callous, but calluses are part of CrossFit, part of being active. We don't wear gloves because they take away the "feel" of the bar or rings or other apparatus. Thus we get calluses. You can, however, maintain them so they don't flip and rip and burn. Go to a drug store and get a callus shaver and follow the directions. You can also get a stone and grind them down. Good callus maintenance goes a long way.
Tuesday Strength/Skill: Back squat 6X5, alternate with max rep push-ups. On the sixth set of back squats, take off 50% of the weight and do the last set as jumping back squats