Pretty sure there's a bushing in the base that's worn and needs replacing. If so, there's probably a C-clip or some type of retaining ring on the very bottom of the shaft which, when removed, will allow the base to be removed and reveal either a brass or plastic bushing. HM dealer should be able to assist with procuring replacements.
Exactly.
I am very new to this, but here is what i found as i repaired one.
Mine has a C- clip as you can see in the picture. Open that carefully and that is all that holds the parts together.
As for parts, here is an example of what you are looking for.
http://humemodern.com/parts/aluminumGroup/aluminumGroup.html
"this component will eliminate excess movement & wobble when replacing original factory plastic part."
There are specialized tools made for safely removing these that your favorite local automotive repair shop might be willing to lend. Otherwise, work in a contained area (free of valuables or loved ones) so that you can find the damned thing when you finally pry it loose and it attempts to achieve orbit after bouncing off one or both of your eyes.
Tktoo, Teflon tape is exactly what I meant. Right product, wrong resin.
And the fix is surprisingly durable. I did it as a short term fix on an Eames loose cushion armchair until I could machine a new bushing. I never did get around to making a new bushing but the chair is still stable a couple years later.
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