You have to either connect a multimeter in series with the servo and switch it to current measurement mode or put a small value resistor in series with the servo and measure the voltage drop across it (I = V/R). If you want to capture a quick spike and don't have an oscilloscope, you can still place a small value resistor in series with the load, estimate the maximum current value which gives you a maximum voltage drop across the resistor, then divide that voltage down to logic level (~5V) using a voltage divider (2 more resistors), and input it into a latch, a device that 'remembers' if its input has been a logical '1' (5V for TTL). If you're not sure what the maximum current value is, estimate something out of range and construct your 5V divider from that amount, then work your way down in divisor values until the latch 'latches' (the voltage across divider reaches ~5V). If the event is more than 25ms long (1/40Hz) you should be able to see it with your eyes, and can use an LED, but this can be tricky.