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Can you dry clothes at work? I commute in full dorky cycling clobber but if you don't want to do that, just wear anything that's relatively quick drying and warm enough for the weather. I wouldn't mind getting wet for 25 minutes as long as I could get changed at work and warm/dry my wet clothes for the ride home in the evening.
Waterproof socks are great as well, keep your feet nice and dry and toasty.
To answer some questions, I can shower at work but I prefer not to after only riding for 25 minutes. I'll put some dry shoes there, that's a good idea.