I was doing training in a 152 once seemingly without dampers. or ****ty shimmy dampers.
it seemed that when at a fast taxi speed it came on.. twice it happened to me from memory.. the only two times i flew the aircraft.
So, what we did was, first time.. pull the nosewheel off the ground.
Otherwise we had to slow to a very slow taxi speed.. walking pace even for it not to shimmy like that.
My instructor seemed to be oblivious to the fact (and never attempted to explain what was happening), and I had to ask Chuckles about it.
Chuckles was great help.