Hi! Same thing happened to me when driving my 88' RR Classic for the first time after purchasing it just last week! It may be a simple fix: Make sure that the bolts on both sides of the steering damper/shock/stabilizer are nice and tight. It is the horizontal shock located underneath the engine just behind the front wheels. After tightening these the wobble went away. When it happened to me, I thought I was a gonner. Hope this helps!
-John
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