I've never read Forward's work, but I read a lot of science fiction as a kid. I can think of a couple.
Larry Niven's short story "Neutron Star" was about the tides. If the star had been emitting gravitational waves ... let's see, if it was incredibly young and bumpy and emitting strongly, the protagonist might have barely felt the vibration. That's how weak they are.
Here's another Niven setup, from "Protector" maybe: Two ships chasing each other around a neutron star, no mounted weapons. One guy gets out in a spacesuit and fires a rifle at the star. By the time the bullet hits the surface it's got enough kinetic energy to ignite a thermonuclear flare, which fries the other ship. Nice idea, but you need a puddle of hydrogen on the surface and for that you want accretion from a companion star, which would have blown the story.
Fred Pohl's "Gateway", which mushroomed into a series of novels, involved a close up of a black hole. Guy and girl go near black hole in two-piece ship, realize they're stuck, separate the ships so one gets out. In the rush, only guy makes into half of ship that leaves for home. Guy winds up extremely rich and guilt tripping about accident with girl. Descendants pull out girl. For her it was only a few minutes instead of decades, thanks to gravitational time dilation. No waves, but nice use of relativistic effects as plot devices. More human than the other stories, too.
I have yet to see gravitational waves in a story, but I hope to.