I personally don’t like doing it. To me, in this society, it’s an artificial accretion.
I don’t feel uncomfortable, particularly, holding the hand of a woman (I’m a man) who is at least ten years older than I am. That’s not strange, as older women are somewhat given to that in this society, (though it might be regional) and it’s not considered weird to do it.
I cannot abide holding the hand of another man’s wife, and I just won’t do it. Under no circumstance would I consider doing it outside the Mass, so why should I be obliged to do at Mass something I would never do outside Mass, even with a good friend?
I don’t feel right holding the hand of an unmarried woman either, particularly a young one. I would never, ever, ever do that outside the Mass.
That goes quadruple for holding a man’s hand. Maybe somewhere on earth (Saudi Arabia, I guess) men hold hands. In this society it’s considered totally out of the way except in a certain perverse circumstance, and I won’t do it, no matter what.
In the outside world, nobody holds the hand of a child that isn’t his own relative. It’s considered exceptionally creepy to do it. I can see no reason why I should feel obliged to overcome that cultural taboo (with which, frankly, I agree) just because I am in church.
So, I just don’t do it other than occasionally under the “old lady” exception. But most older women don’t want to do it anyway, and I would be the last person on earth to force it on them.
In the parish we attend, there was all kinds of hand-holding, raising hands in what I am told is the “orans” position and so on. Then one day, the priest announced that, while we could do that, we were not obliged to do it. The very next Mass, almost nobody did, and it hasn’t come back, either. It seems to be slowly dying out entirely.
That suggests to me that most people are no more comfortable with it than I am, but do it because they think they’re expected to do it.
Having said all that, I don’t have a problem with the handshakes at the “kiss of peace”. That is considered normal in this society, breaks no cultural taboos, and is considered a friendly, but not intimate, gesture.