I understand the safety person "no no" on the space heater...
Try wearing a long sleeved cotton knit cardigan. I have lots of these in various colors and styles to go with my outfits and they look nice, too. You can easily take them off and on, depending on how cold or warm you get. I usually never have problems with cold hands when I'm wearing one of my long sleeved cardigans.

Take care!!!
SNA