It went into a bit of detail as to why it started but the war was "over" after "The Way of the Warrior" (or at least Gowron declared victory).
No major battles were shown, it all happened off screen. The only time we saw Klingons and Cards fight was in "The Way of the Warrior" 2 or 3 BoPs vs a disabled Galor, a BoP vs a freighter in "Return to Grace" and a BoP and battle cruiser vs a couple of freighters in "Rules of Engagement", all very minor stuff.
The closest we came to a ground battle between honourable Klingons and treachorous Cardassians was in "The Way of the Warrior" where Dukat and Garak fit a few on DS9.