It's a relatively little known incident, but according to Mitt Romney in his book Turnaround, the former Governor took some jabs at President Clinton expense during a trip to the White House.
Romney was visiting the West Wing with Cindy Gillespie, head of federal relations for the Salt Lake winter Olympic Games, for a meeting with the White House's Olympic Task Force co-chairs in 1999.
When we got through the Secret Service checkpoint for clearance at the West Wing, the agent handed each of us a badge to wear around our necks. Mine had a big, red A. I turned to Cindy and, in front of the agents, said, “Why do I have to wear this?” Thinking I was confused, she tried to explain that all visitors to the White House had to wear a badge. “I know that,” I responded, “I’m asking why I have to wear the red A around my neck. I’m not the one that cheated on my wife. He should be wearing the scarlet A- not me.” I grumbled all the way up the drive and into the West Wing lobby. The look on Cindy’s face was priceless.