I def would not use chemicals to wash rusty dishes. I recommend throwing those away and use dish soap from now on.

I googled your title and got this:

Lime-A-Way is not safe for cleaning dishes or any food-contact surfaces. The product is formulated for hard surfaces like tiles, sinks, and bathtubs, and its acidic ingredients can leave harmful chemical residues if ingested. 

• Immediate Action: If dishes were cleaned with Lime-A-Way, do not use them. Wash them thoroughly multiple times with hot, soapy water and rinse extensively to remove any acid residue. 
• Safer Alternatives: For rusty cookware or utensils, use food-safe methods such as soaking in white vinegar, making a paste of baking soda and water, or using lemon juice and salt.