Inspect the chair for loose joints by moving your hands over the chair and trying to wobble the parts at each joint.
Tap the parts of the loose joints free with a rubber mallet. Be carefully not to strike the parts too hard to avoid damaging the chair. Separate the parts with your hands.
Sand the interlocking ends of each part with medium-grit sandpaper to remove all of the wood glue from the wood's surface.
Wet both ends of each part with warm water. Swab difficult to reach areas of the joints with a wet cotton swab. This will cause the wood to swell for a tighter assembly that will allow the glue to adhere better to the wood.
Apply wood glue to the ends of the parts and reassemble the chair. Use a cotton swab to apply glue to difficult areas of the joints.
Clamp the glued joints with clamps and allow the glue to dry for at least 24 hours. Remove the clamps.