I read once, that a 100Ohm resistor is a good gate resistor...
The datasheet of the IRF520 says repeatedly something about a RG... it seems like they recommend 18Ohm...
I think, the gate capacitance is so low, that there wont be a high current, because of the resistance of the cable and the relatively slow transition of the arduino pin...
but i wonder if a gate voltage of 5V will decrease the resistance of that FET sufficiently...
what do u think?