A few people mentioned asian cuisine. Chinese especially uses them, like in dim sum, with shrimp. There is even a chinese green onion "cake" that would probably taste good with chives subbed for green onion.
I don't know what a home cook would use this idea for, but in a restaurant i worked, we would blanch chives or garlic chives, more like a quick flash in
hot water, and use as "string" to tie up things, like a bundle of asparagus or a mini bouquet of fresh herbs.