Dreaming that you are covering something is interpreted as symbolism of fear. To cover or to mask anything in the dream shows the way of your action to hide something. Do you have any part of your character that you are want to hide? Are afraid to reveal some personal thing to anyone? Consider what you are trying to cover up, because it has more information about your current psychological and emotional state. See what this thing means and how it is interpreted for better understanding of signals, that send your subconscious.
Read more about dreaming of Cover in other dream meanings interpretations.