Sound again, not landfill-bound.
Good solid-wood furniture is built to be fixed. A chair that wobbles or a table with a cracked leg isn't ready for the curb, it's ready for a repair. If it's real wood and worth keeping, it's usually worth mending.
Most repair work comes along as part of a refinish: re-gluing loose joints, stabilizing a split, tightening a wobbly chair, filling and leveling. That's built into the job. And when a piece only needs repair, I take those on selectively, by drop-off, starting at a $250 minimum.
I'm a refinisher first. I don't chase every little repair, but a solid piece worth saving is always worth a look.