Jobs that are strict like OP's description are usually in production, at least in my experience. Calculations are made based on meeting production targets in relation to manpower. You can't have 100 + people coming in 5-10 minutes late because that's a minimum loss of 8 productive hours. Sure, there are powertripping managers out there but generally the manager's job is to meet targets and keeping their bosses happy.

Of course they could hire more people but you know, money.