Sometimes it'd be awkward.
Last girlfriend would pull me around, which was annoying. We'd be walking, and suddenly my equilibrium is out of whack (maybe some muscles pulled) because she saw a candle store.
At least let us know when you suddenly change your mind and want to see something. And she was always dragging me around.
Sometimes I'd break off the hand holding because my palms were getting sweaty and gross.
Sometimes it'd be because she's start picking at my hands whenever I'd hold her hand, and it'd get uncomfortable. Most of the time she'd come from a weird uncomfortable angle. It was the weirdest thing. She'd twist up her hands.
Sometimes it'd be because we'd be walking between people or lamp posts, and there'd be no room to move myself far enough over to the side to avoid the obstacle.
And sometimes I didn't feel like holding hands with a girl (especially if she's fighting with me or insulting me and I'm still in a slighty annoyed mood)
I don't think I stopped holding hands with a girl out of embarrassment (either me being cautious about how I look, or that I'm embarrassed by how my date is acting), but I suppose it's another possibility.
I have a habit of cracking my knuckles. So if I'm nervous, (a nervous habit that I work to get rid of) I'm tempted to play with the hands.
There are a ton of different reasons it can happen. Usually it's not because of you, or that we don't want to be seen with you, but because it's awkward or it's a weird situation.
You kind of have to look at the situations outside of the both of you. If he pushes you into a bush or behind a tree any time his friends come by, or he sees another woman, than it's an issue.
But if he stops holding hands, wipes his hands on his sleeve, and then takes your hand again, then it's a temporary thing and it's not against you.
If he's near you, and continues to walk with you, it's not that he doesn't want to be seen with you. And it's a different situation.
A stopped dating a girl. A few weeks later, I was at a singles group with her. She comes up, starts hugging me (that's ok). Then she starts demanding a big long kiss, and gets upset that we're not kissing in front of everyone - mind you we had broken up weeks before. 2) It was a singles group, and the yelling at me for it (in public) was awkward. I'm not going to be flopping all over a girl at singles events, especially someone I had stopped dating. It's not right.