It used to happen like clockwork. Each year, Pfizer Inc. would help foot the bill to send some of the employees in its Connecticut outposts to the University of Connecticut School of Law.

The Pfizer employees were scientists and business types by day and dutiful law students by night — often landing at or near the top of the class. They also represented a reliable way for the law school to fill seats in its part-time program, along with the banks, insurance companies and governmental agencies that offered robust tuition reimbursements to their employees.