Obviously this is a system that pilots should pay particular attention to and let maintenance technicians take their time during inspections. It's cheap insurance. There were a total of 19 accident- causing engine problems during takeoff, but only about a quarter of these involved a bonafide mechanical failure. More than half of these accidents involved engine stoppages caused by fuel mismanagement. Four accidents were caused by selecting the wrong tank for takeoff and the subsequent fuel starvation.
Improper boost pump operation, improper mixture control, and fuel importing rounded out the list.
Takeoff should be considered a critical fuel system event. Before taking too much comfort in the preceding statistics of less than two engine failures in the fleet per year, remember that the skills required for handling an engine problem on takeoff are considerable. While the odds are in your favor that you'll never have to do it for real, the penalty for being a bit rusty can be severe indeed. Four of the accidents involved flat spins, which are considered unrecoverable. This repeats the airlines' experience of the early 1960s, where many more aircraft were lost in training than to actual mechanical malfunctions.