I say an emphatic no. If you're cold, dress warmer. I couldn't care about your fashion needs, if you're cold, stop wearing skirts, or short sleeve shirts or no jesey and dress for the winter! I'm personally sick of this fight every year.
"We're cold". Blah blah blah. Heaters and heated aircons are a breeding ground for germs and bacteria and once switched on, they distribute these perfectly. And also, when one idiot comes to work sick, the aircons merely serve to help spread his/her toxic exhalations making more people sick.
On that note, employers should actually force a sick employee to go home. The problem though is employees get made to feel so guilty for taking sick leave, they rather go work