I've seen mold kill cuttings. I get rid of it with bleach, peroxide works, some people use physan 20. As Pete said, increase airflow. If I have mold in a closed space I spray all the cuttings and the container. I make sure to cut off any pant parts that are dead - nodes, stem, leaf bases, etc. They will just mold again. When I spray I don't let any get into the soil. One advantage of H2O2 (peroxide) is that it turns into water so it doesn't put excess salt or toxic chemicals in the water. One disadvantage of H2O2 is that it turns to water and too much water is also bad for the soil and it contributes to mold growth. Which is why Pete wisely increases his airflow.
Pete, why do you dilute your H2O2? The 3% we can buy at stores is pretty dilute already.