Modern cars are characterized by a growing number of sensors, actuators, and advanced driver assistance systems that require a synchronized view of the time. These devices are typically interconnected by CAN which is still the most important in-vehicle network. Precise clock synchronization over CAN is difficult due to the properties of the bus, and current approaches often use dedicated hardware or proprietary software solutions. A few years ago, however, the AUTOSAR development alliance published a standardized synchronization method.This paper investigates what synchronization precision can be realistically achieved in a real-world automotive hardand software environment. This involves pure software timestamping, standard CAN controllers without hardware modifications, and a typical automotive real-time operating system. We evaluate several approaches to reduce the synchronization jitter using filtering and optimizing the timestamping procedure. Experiments show that ultimately, a precision better than 50 microseconds can be achieved with a fully AUTOSAR-compliant software implementation.