West Virginia Attorney General JB McCuskey wants stronger protections for children using OpenAI's ChatGPT.

McCuskey appeared on CNBC's Squawk Box on Thursday morning, less than 24 hours after eight states sued OpenAI. He said age checks and time limits were among the safety standards he wants the company to put in place.

"There will be monetary relief that we are seeking," he said. "But I think equally, if not more importantly," the cases should establish "what proper safeguards for children look like."

Iowa, Kansas, Nebraska, West Virginia, Arkansas, Arizona, Idaho and Montana filed lawsuits on Wednesday, accusing OpenAI of "conveying a misleading impression" about ChatGPT's safety and also alleging it violated consumer protection laws.

In a separate CNBC interview, Nebraska AG Mike Hilgers said ChatGPT misleads parents about the chatbot's safety, pointing to its 13-and-up App Store rating.

"The first thing we would want is just for OpenAI to make truthful, what we believe to be truthful statements to parents and customers, especially as it relates to kids," Hilgers said.

He also called on OpenAI to hold back on releasing new models until the risks can be addressed.

Asked about the safeguard that OpenAI has already put into place, McCuskey said they don't cancel out previous claims of harm.

"It’s not just old wrongs, it’s ongoing wrongs as well," he said.

In August, OpenAI addressed some of these concerns, saying ChatGPT includes additional protections for children and teenagers that include safeguards around harmful content and reminders to take breaks.

McCuskey said he wants litigation that sets "guideposts for every AI company."

"Our children are going to be using it for their entire lives," he said. "But we also know that these products have to be safe."