Start with one word. To complete the chain, find any type of word that creates a phrase with the previous word, as well as the word after (each word is part of two phrases). Can be a compound or two words.
"Dairy made from milk"? I assume you mean "Dairy [product] made from milk", but then the last three words are redundant. All dairy products are made from milk. Anything made of milk is a dairy product. So, how about just "Dairy product"?