It is common, but it depends on which meaning.
It can be a noun meaning a kind of food: "I put relish on my sausage." (a condiment like ketchup and mustard)
It can be a noun indicating delight or pleasure: "I greeted my cousins with relish."
It can be a verb also indicating delight or pleasure: "I relish meeting new people."
The first one (the food) is probably the most common in conversational spoken English.
The second two are not that common in conversational spoken English, at least in North America, though they would certainly be understood. I doubt that I use "relish" when talking with my friends.