I think it is allowed for you to get nake-nake, though.

Cute Professor (begins taking off bowtie): Excuse me I am just going to remove my bowtie. Don't worry I'm not getting undressed.
Yale Girl:...
Cute Professor: That's better.
[they talk about class]
Cute Professor: Goodness is it hot in here, or it just me? (Takes off sweater). Don't worry, I'm not getting undressed. I think that is against the rules.
Yale Girl:...


--Office Hours