Yes, no problem, from the TSA website:
"You are allowed to bring gel or liquid-filled teethers, canned, jarred, or processed baby food in your carry-on baggage and aboard your plane."
Just as a sidebar - we witnessed a mom at MCO airport having to explain to an agent that "yes, I am indeed allowed to bring the teether". Out she whips the details from the website...
As many have mentioned before - not every employee may know the exact rules... and sometimes a little friendly explaining (or heck, documentation!) goes a long way
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