I recall reports of Di sleeping over at the White House once when Hillary was out of town. I seem to recall Hillary being upset at the time.
We all recall the private detectives, and the 300 (?) or so FBI files on political opponents immediately after Bill took office.
We all suspected a continuing investigation of everybody the Clintons thought they could intimidate with information on their background.
Don't rule out his checking on Di to help him get laid.
Funny. Bush taps the phones of Islamo Fascists, Clinton of faux-celebs. Compare and contrast.
“Over time, the source said, Hillary Clinton "became a role model for her. You could see how, on Diana's part, it was a natural attraction. Hillary was like her older sister."
“In the princess's later visits to the White House, Hillary Clinton was aware of Diana's fragility, especially after her divorce from Charles, and provided her with both protection and privacy. “
http://www.salon.com/sept97/news/news970903.html