Having personal experience of this I feel obliged to put in my 2p worth:
I once had a nasty off caused by a lock-to-lock tankslapper on my CBR 600 (no damper) triggered by an 'almost' highside. The thing I remember most is that it seemed to go on forever before I eventually parted company with the bike whilst still travelling at speed. Luckily the only damage was concussion, a sprained shoulder and a chunk out my wrist, and cosmetic damage to the bike. At the time I was still green behind the ears and did all the wrong things - put all my weight on the front, tried to wrestle with the bars etc. It got so bad just before I was ejected my vision was blurred because I was being thrown around like a ragdoll - I could hardly see a thing and thought I was going to be shaken apart
As is often the case with riding a bike, the instinctive reaction usually just makes things worse. Trying to stop a tankslapper by brute farce is pointless - the gyroscopic forces involved will break your wrists first. At the same time rigidity means your entire body will start to act like a pendulum, amplifying the headshake and generally making things worse.
Someone said there isn't a lot you can do but that is not the case, otherwise in bike racing no-one would ever cross the finish line. Just watch the TT guys! As already mentioned the correct way to end a tankslapper is to sit back in the seat taking the weight off the front, and accelerate - as soon as the weight is off the front wheel it will correct itself. Everyone always tries to find a cure by looking for that elusive perfect suspension setting, or expensive aftermarket parts rather than understanding what caused the problem and knowing how to correct it.
That said I would still recommend a damper - my gixxer often gets the wobbles under acceleration as will any bike with a sharp steering angle, but the stock Suzuki damper (which isn't particularly stiff at low speeds) is more than sufficient to keep things under control.
Keep it shiny side up
