for some people its normal and for others it isnt..

example I know someone who during a college class became uncomfortable and had the same symptoms you had, when I approached him thinking he may be having a reaction similar to my being triggered/dissociation/ panic attack...

I found out he has been this way since childhood, he just had a very sheltered and protected life so when he encounters something outside his box that he grew up with his body has all kinds of reactions. just normal for him. for him its not anxiety or any other thing. he can be calm relaxed and suddenly his body will give him this oh crap feeling. kind of like how they teach children to follow their gut instinct.. his gut instinct kicks in.. he was fine once he got back in his car where there was a sense of familiarity. in fact he was able to talk in depth with me about the lecture with no further problems.

for me having this kind of reaction is called an anxiety/panic attack and Multiple Sclerosis.

for me yes I would talk with my treatment providers, thats the only way to know for sure what it is since we are not able to diagnose the problem here.