Time for my normal plug for wool. As a long-time kilt wearer I can attest that wool is cool in summer and warm in winter. As a former letter carrier I can attest that wool is great for 6-hour walks in the rain. As a bike commuter I can attest that wool is the thing for staying warm even when drenched.
An often-used part of my wardrobe this time of year are my wool t-shirts. I wear a regular jersey over them, for visibility (my one complaint about wool is that the few manufacturers insist on using dark colors), and perhaps a vest. Of course, this is the San Francisco Bay Area, so freezing temperatures are rarely reached during commute hours, and rainy days are usually 10 degrees F warmer than clear days.