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If there's a set deadline, wait seven days before making contact to see if your application has found its way safely to the employer. If there is no closing date then wait two weeks. Drop a line to the person you applied to, confirming that you made the application and that you are keen on the role.
Two weeks should be your limit, but even that is a long time to wait for a job offer that may or may not be made. If you know you want a candidate, then hop on it quick and offer them the job. Waiting may be the downfall of your hiring process.