Logen, despite his fearsome reputation, firmly believes in The Power of Friendship, and tries his best to be nice to his companions on their journey. He manages to befriend Jezal over the course of the trilogy, and even Ferro starts warming up to him eventually.
Ardee's conversation with Glokta after he marries her, about how she's going to take care of her husband. Granted, given the setting, just about anything could be a CMOH, but this one was especially sweet.
Also, the proposal scene; Glokta's babbling about how this is the best way to keep her safe now that she's carrying Jezal's child, and while she's rather taken aback she clearly appreciates what Glokta's doing for her.
And once she's had chance to think about it there's the scene after they're married where she explains that she wants to take care of him and they will be sleeping together.
At the end of Best Served Cold, Monza deciding not to rule as a tyrant like the previous Grand Dukes, and sparing Shivers' life despite his betrayal.
Calder's interactions with Sef and Scale in The Heroes. He may be a smug, scheming coward, but he deeply cares for his loved ones. At the end of the book, he allows Scale to become king, over his own ambitions.
Also from The Heroes — Beck returning home in the end, deciding he'll be better off leading a quiet life.
Major Spoiler for A Red Country, but... Shivers deciding to declare Lamb/Logen dead and go home. It may be just be fear of Logen, it may be him shaking loose a bit from Calder's leash, or it may be the only act of compassion from Shivers in damn near two books.