Were there any Clinton-Gore and/or Dole-Bush counties in which Gore did better in 2000 than Clinton did in 1996?
Plenty of them.
What were they?
Most of the counties that swung heavily to Gore from Clinton's 1996 margin were heavily populated urban/suburban counties (ex. King, WA; Los Angeles, CA; Fairfax, VA; DeKalb, GA; Clayton, GA; Bay Area counties; Philadelphia metro counties).
Number 1 in there was Russell County, Kansas, an otherwise random rural county that just so happened to be Doles home County.