Everywhere Harry went, people pointed and didn’t trouble to lower their voices as they insulted him. Slytherins, on the other hand, clapped as he walked past them, whistling and cheering, "Thanks Potter, we owe you one!"
...to his great relief, Harry wasn’t punished. On the other hand, he’d gotten into terrible trouble for being found on the roof of the school kitchens.
Dudley had been accepted at Uncle Vernon’s old private school, Smeltings. ... Harry, on the other hand, was going to Stonewall High, the local public school.
You have your mother’s eyes. It seems only yesterday she was in here herself, buying her first wand. Ten and a quarter inches long, swishy, made of willow. ... Your father, on the other hand, favored a mahogany wand.
...Harry felt he was pushing his luck, breaking another school rule today. On the other hand, Malfoys sneering face kept looming up out of the darkness — this was his big chance to beat Malfoy face-to-face.
There are no more uses of "on the other hand" in the book.
Show samples from other sources
Change can be hard to deal with. On the other hand, it often brings opportunity.
I think she’s pushy. On the other hand, my boyfriend describes her as assertive.