Billy Corgan, Eric Dane, Rebecca Gayheart -- Settle RAGING Tree Dispute

Billy Corgan, Eric Dane and Rebecca Gayheart -- 3 big stars -- just settled a 2-year dispute on the brink of a full-blown trial ... over 4 trees.

The neighborhood feud ignited in 2012 when a gigantic eucalyptus tree on the property of the Smashing Pumpkins singer fell onto Dane's property, causing enormous damage. The insurance companies settled the property damage issues, but the feud roared on.

We're told Dane and Gayheart wanted the trees trimmed or taken down, but Corgan wouldn't budge. The lawsuit says Corgan showed no remorse ... and that pissed them off.

The trial was set to begin Monday in L.A. County Superior Court ... big stars fighting over big trees. But we've learned brinkmanship ended with a settlement last week, when Corgan agreed to cut the trees down to the stump.

So now Corgan can't complain to Dane and Gayheart, "You Ca-lipped my trees."