The easiest way I can think of to describe this is:
Rich, thick, having a “full mouthfeel”.
If you were talking about food for instance, and the word savory came up, I would automatically think about things like:
Hollandaise sauce
“Country gravy” (white gravy, that’s been thickened with bacon or sausage greases)
Etc.
So, in essence, flavors that are “easily noticed” and weigh heavy on the palate. YMMV