With her hand in his, Gale tries to help her balance as they head up to her overlook. It doesn't take much effort and certainly isn't an inconvenience, and his mother would probably kill him if he doesn't at least try to catch her if she falls. Holding her hand will make that easier, in case he needs to do it. It's practical, but it's a nice, simple touch, no pressure behind it from either of them.

At her question, he cracks a bit of a smile. "I don't mind. Here." To be fair, it isn't Gale's jacket. It fits him surprisingly well, though, so he has to slip his arms out of it to allow for room. He wouldn't mind having Lydia close at all, but he also wants her to be comfortable.