Had this just the other night... not sure if it qualifies as 'dipping,' but... I slice French bread, then toast it. On each piece I put a slice of mozzarella, then a leaf of fresh basil from the "garden" (otherwise known as the planter box where our tortoise lives), and a slice of fresh tomato. Salt lightly, drizzle olive oil over the top - SO GOOD.
Oh, and of course it doesn't hurt that I have a bottle of what is literally the top olive oil in Italy (apparently they have judging each year?), which I got directly from the farm itself. The number of bottles made each year is so low, each one is numbered. There's still about a third of it left and I am going to cry when it is gone.