Could be worn or perished bushes on the rear axle linkages causing movement. Our cars also rot in the nicely designed rust traps where the floorpan is welded to the rear passenger bulkhead, especially around the radius arm mounts. This allows the radius arms and rear axle to move about under acceleration and braking.
If you're lucky[;)] it might be a worn gearbox rubber mounting allowing the 'box to move around.
Shit happens when you have an older car.
Adam
TR7 V8 DHC Jaguar Solent Blue. 9.35cr Range Rover V8, Holley 390cfm, JWR Dual Port, 214 Cam, Lumention, Tubular Manifolds, S/S Single Pipe Exh, 3.08 Rear, 200lb Spax & PolyBushes all round, Anti- Dive, Strut-Top Roller Bearings, Capri Vented Discs & Calipers, Braided Hoses, 4 Speed Rear Cylinders, Uprated Master Cylinder & Servo, AT 5 Spokes and Cruise Lights, S/S Heater Pipes, Replacement Fuel Tank. No Door Stickers. Mine since July 1986, V8 from 1991