Shedding
To dream of skin shedding represents feelings about letting go of an unhelpful emotional state. Letting go of old habits, ways of thinking, lifestyle choices, or behaviours. Choosing to think or feel in a new way. "Shedding" the past, guilt, anger, or addiction. Letting go of your romantic feelings for someone.
To dream of a snake shedding it's skin may reflect feelings about something dangerous you are aware of about to change methods or do something different. Negatively or the potential for failure that is renewing it's efforts.