Feeding the monkeys and pandas might be neater that what goes down at our house during meals.
We let Lucas feed himself. He loves it, and he gets about 85% of the food in his mouth. We move things along with a long handle spoon, getting a few mouthfuls in there. This also works well for us, giving us free hands to eat ourselves.
Lilsugar posted research that shows that letting babies feed themselves develops hand eye coordination and works towards a developing a healthy relationship with food.
Lunchtime becomes a happy event for everyone, albeit insanely messy. But that can be cleaned up... over time.