From Longman Dictionary of Contemporary Englishput the squeeze on somebodyput the squeeze on somebodyinformalPERSUADE to try to persuade someone to do something → squeeze
Examples from the Corpus
put the squeeze on somebody• Secondly, its effect could only be to put the squeeze on landowners who sat in the path of the reservoir.• The Treasury number two has targeted the most vulnerable in the drive to put the squeeze on government spending.• Look, President Clinton might host some questionable coffees, but he never would put the squeeze on a Brownie! 