"Political clout" refers to the influence, power, or leverage a person, group, or organization has in politics. It signifies the ability to shape or impact political decisions, policies, and outcomes. Full definition
A little - publicized amendment in the new tax law shows the growing political clout of American spirits producers, particularly the smaller ones. (nytimes.com)
The added advantage of a protective function against all storms would gain lots of political clout in certain cities we know! (earthtimes.org)
Instead, Democrats emerged from the election with less political clout on the national and state levels of government than at any time since 1928. (chicagotribune.com)