My running clothing system doesn't change much through the year, our dry climate and year round sunshine makes it pretty easy to get out the door with very little on. Only thing I have to deal with is brisk clear mornings, (upper teens and 20's) in Dec.-Jan. I usually only have to add a pair of armsleeves into my typical clothing system, a lightweight beanie, and pair of gloves.
For sustained chilly runs in the early morning or evenings:
Top: merino t-shirt or lightweight poly shirt
Arms: merino arm sleeves
Hands: merino gloves
Shell: windshell, only for those brisk and breezy runs in the early morning or evening.
Bottoms: split shorts for anything above 32F and sunny usually, sustained temps below 32F with little sun then I'll use either the Patagonia Coolweather tights or Traverse pants, especially in the evenings.
Socks: whatever doesn't smell or resemble bacon strips, usually merino
Head: Merino wool buff or lightweight capilene beanie (Patagonia, can't remember the model, a few years old, but it's an indispensable headpiece, a miracle piece of kit, wicks sweat like crazy, keeps my head warm, and dries in minutes)