This paper describes the grammar of possession in Oneida (Northern Iroquoian), a case where domain-specific syntax permeates disparate areas of the grammar (referencing of semantic arguments, noun incorporation, expression of quantity, and negation). In each of these other areas, something unique must be stated, but some of what is special to possession is also shared across two or more of these areas. We describe this interesting mix of general and specific constraints in terms of a metaphor originally applied by Lévi-Strauss to the construction of myths, ‘bricolage’ (tinkering). We suggest the notion of bricolage aptly captures the properties of Oneida words that include a relation of possession. This novel way of conceiving of grammar of specialized domains is an alternative to the view where only general/universal, possibly parametrized, principles are countenanced.