Use 'chilliness' to describe subtle coolness in weather, not intense cold. Even in spring, there can be a chilliness after sunset.
Pro Tip 2/3
Environmental Nuance
'Chilliness' implies a mild, often unexpected drop in temperature in certain surroundings. Entering the cave, we felt a slight chilliness unlike the warm outside.
Pro Tip 3/3
Sensory Perception
Chilliness is often used to describe a sensation that is more felt than measured. Despite the sunshine, a chilliness made everyone reach for their jackets.