In ordinary skinning, removing a covering reveals what lay beneath it. The metaphor draws on this perceivable action to make a cosmic transition vivid.
The verse does not claim that night is literally an animal or that daylight is a physical hide. It borrows the action of stripping to represent a large-scale transition in the conditions of light.
Common feature: the intelligible connection between removal and the subsequent emergence of another state.
Contextual clue: the action is predicated of day and night rather than a hide and an animal.