What is Reddit's opinion of
"VIVO Black Universal Steel Clamp-on Desk Stabilizer Bar, 36 to 61.6 inch Bracket Support System for Sit to Stand Desk Frames, DESK-STB01B"
VIVO Black Universal Steel Clamp-on Desk Stabilizer Bar, 36 to 61.6 inch Bracket Support System for Sit to Stand Desk Frames, DESK-STB01B
Desk Frame Support - DESK-STB01B is a universal desk stabilizer bar that clamps onto your current desk frame for added support. Effectively reduces side-to-side wobble of most 2-leg standing desks (please note, this will not change forward/back stability). --Patented--
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2 comments of this product found across Reddit:
https://www.amazon.com/dp/B07NP4WN68
Something like that I guess.
Keep in mind I have absolutely NO idea if this is what you need or what may help you. Going by what you're saying though, the 'rocking side to side,' it seems something like this may help.