The appropriate season for cutting off tree limbs in winter. Winter is preferable to avoid diseases and pest infections due to open woods. Cutting is required to prevent the damage of the whole tree and other trees in the yard. As safety is a significant concern, the branches or limbs should be removed unseasonably to prevent sudden fall of the branches or tree limbs. So carefully observe the structure of the tree for cracks and damage. If anything seems abnormal, start cutting the limbs with safety precautions.