Additional time or money allocated to a construction project in order to mitigate risk related to specific items. For example, one may carry $10,000 in contingency to deal with concealed electrical devices on a project that cannot be identified by just looking at the space.
Merriam-Webster Online Dictionary
the quality or state of being - contingent
a event or condition as - contingent
a) an event (as an emergency) that may but is not certain to occur - trying to provide for every contingency
b) something liable to happen as an to or result of something else - adjunctjuncture