I was just flying with a friend who had a 1 amp breaker, installed by
the glider factory, protecting a fancy LXNav flight computer. Manual
said current draw was 700 ma. Unfortunately the breaker was popping
frequently at the end of long flights.
Manual for the LXNav recommended a 3 amp breaker. It probably draws
more current at low voltage, I assured him a 3 amp breaker would be a
fine choice.
No sense trying to use the tiniest fuse or breaker you can, just use
something appropriate to protect the wiring. Breakers are great for
airline pilots who like to have lots of buttons to push.