Here you can find some links to Private Employment Agencies that are operating in the Tampere region.
Look for vacancies in the Sunday editions of "Aamulehti" and "Helsingin Sanomat". Also free newspapers like "Tamperelainen" may have job ads. You can read newspapers for free in local libraries.
Often the fastest way to find a job is to get in direct contact with companies, so send an e-mail and/or visit offices, stores etc. and ask if they need an employee.
Active networking with your fellow students, teachers and friends can lead to positive results very quickly. In some fields up to 90 % of open vacancies get filled by previous contacts made in networking.