You should keep in mind these special tips on diet, clothing, warm-up and cool down, depending on the time of year when you are running. The more bare skin that comes in contact with the air, the faster and easier one can be cooled. Try to run in the early morning or in the late afternoon or early evening hours, not in the heat of the day. Drink plenty of it. Also, make use of sprinklers, water hoses, etc., to cool your body.
Layers also keep in body heat.
Legs do not need as much protection. Tights, long-johns or warmup pants are fine. Most runners wear socks in the winter. In very cold weather, wear a hat. Warm up slowly so as not to hurt yourself.