In a food processor, combine the feta cheese, cream cheese, and olive oil. Blend until smooth and creamy, ensuring there are no lumps—this should take about 1-2 minutes.

Incorporate the minced garlic and dried basil into the mixture. Pulse again until thoroughly mixed.

Transfer the whipped feta mixture to a shallow serving bowl or plate, smoothing it out for an attractive presentation.

Create a small well in the center of the dip and pour honey into it.

Sprinkle the chopped chives and pistachios on top, then add a crack of black pepper around the edges.

Serve with fresh vegetables, pita chips, or crackers.