suretyship /ˈʃʊəɹɪtiːʃɪp/ noun1 •An accessory agreement through which one binds oneself for another already bound, either in whole or in part, as for one's debt, default or miscarriage; the assumption of liability for the obligations of another.as a man desperately swimming drowns him that comes to help him, by suretyship and borrowing they will willingly undo all their associates and allies […]. — 2001 formssuretyships