Well, jumpers and thick gloves. Due to circulatory issues my hands often turn numb and blue in offices where the AC is cranked up, even if the rest of me is toasty warm.
For air conditioning the best part of it is the dehumidifiation. It doesn't need to be arctic cold just the dryer air and a bit of cool is OK.
I've also been sitting quietly at home and suddenly half my thumb goes purple and the other half is fine.
You know it's Raynaud's syndrome because it feels like someone hit your hand with a hammer. It's not just cold hands it's the pain too.