Services depending on each other

Constructor injection prevents circular dependencies.

It can be broken up by injecting the Injector and requesting a dependency imperatively like:

private payrollService:PayrollService;
constructor(/*private payrollService:PayrollService*/ injector:Injector) {
  setTimeout(() => this.payrollService = injector.get(PayrollService));
}

See also Circular dependency injection angular 2

This is a called circular dependency. It is not an issue with Angular2 itself. It is not allowed in any language I am aware of.

You will need to refactor your code to remove this circular dependency. Likely you will need to breakup one of these services into new service.

If you follow the single responsibility principle you will find you won't get into circular dependency trap.