“But was Clinton acting on the “no fly zonesâ€?”
Yes, he was.
“Iraq challenged the no-fly zone beginning in December 1992 when a USAF F-16 fighter plane shot down an Iraqi MiG-25 Foxbat fighter which had locked onto it in the Southern no-fly zone. The next month Allied planes attacked Iraqi SAM sites in the South.[citation needed] Baghdad eventually halted firing on patrolling Allied aircraft after August 1993.
In the aftermath of Operation Desert Fox in December 1998, Iraq announced it would no longer respect the no-fly zones and resumed its efforts in shooting down Allied aircraft. Saddam Hussein offered a $14,000 reward to anyone who could accomplish this task, but no manned aircraft were ever shot down by Iraq. Air strikes by British and American aircraft against Iraqi claimed anti-aircraft and military targets continued weekly over the next few years.”
https://en.wikipedia.org/wiki/Iraqi_no-fly_zones
"Some critics of the Clinton administration, including Republican members of Congress, expressed concern over the timing of Operation Desert Fox. The four-day bombing campaign occurred at the same time the U.S. House of Representatives was conducting the impeachment hearing of President Clinton. Clinton was impeached on December 19, the last day of the bombing campaign. A few months earlier, similar criticism was levelled during Operation Infinite Reach, wherein missile strikes were ordered against suspected terrorist bases in Sudan and Afghanistan, on August 20. The missile strikes began three days after Clinton was called to testify before a grand jury during the Lewinsky scandal and his subsequent nationally televised address later that evening in which Clinton admitted having an inappropriate relationship.
The Operation Infinite Reach attacks became known as "Monica's War" among TV news people, due to the timing. ABC-TV announced to all stations that there would be a special report following Lewinsky's testimony before Congress, then the special report was pre-empted by the report of the missile attacks. The combination of the timing of that attack and Operation Desert Fox led to accusations of a Wag the Dog situation."