In Finland we have these at some restaurants, more often on a fast food places at the kitchen:

Apparently they're more convenient to use for the kitchen staff than a squirt bottle. Fill the thing with ketchup/mustard/mayonnaise and you can 'milk' appropriate amount of whatever on the dish. They're not commonly used by customers, for obvious reasons.

And cheese in coffee is absolutely a thing, but it's not just any cheese, you need to have bread cheese.