This paper makes a case for conviviality as a currency for frontier Africans. It argues that incompleteness is the normal order of things, and that conviviality invites us to celebrate and preserve incompleteness and mitigate the delusions of grandeur that come with ambitions and claims of completeness. Conviviality encourages frontier Africans to reach out, encounter and explore ways of enhancing or complementing themselves with the added possibilities of potency brought their way by the incompleteness of others, never as a ploy to becoming complete, but to make them more efficacious in their relationships and sociality. Frontier Africans and conviviality suggest alternative and complementary modes of influence over and above the current predominant mode of coercive violence and control.