'total load' has thrown me, I believe the cable being the cable from the tap/piggyback (...plus my extension).You can use various size fuses branching off the supply to the original fuse, that cable must be able to handle the total load.
5 amp will be fine.
If I were to tap into a position containing a 10Amp (original), for a 5Amp device, therefore using a 5Amp 'piggyback fuse', I am guessing the cable must be able to handle the total load/draw of that device, being 5Amp (otherwise the fuse would blow).
Sorry, I am sure your answer makes perfect sense to anybody with knowledge, but I need things spelt out so that I understand the basics.