I don't even think this is about jealousy really. IMHO whenever I was with a guy on a date or going out with someone it is just plain rude if the other person is acting this way.
I don't do this with my husband and I have never done this when I dated either.

It is about maturity and manners IMO. If he wants to behave this way he should do it on his own time, not when he is with someone on a date etc.