Sorry, no deer or wabbits here in the Maple Leaf Neighborhood of NE Seattle! Deer can't get to the terminal buds 10 feet above ground anyway. If they could, there would be severe damage to the tree and surrounding ground. Also no chipmunks. No voles either as there are too many cats in the Neighborhood.
With 5 in-ground Figs and 30+ Fig trees in large pots spread throughout my back yard, it's not feasible to net the trees, even to try to protect the fruit during the growing season as the critters get smart after one season and find a way inside.
We do have squirrels, rats (both Norway and Roof), Possums, Raccoons, and of course all sorts of birds but the birds go after the fruit not the branches. I did trap a roof rat in October 2014 (after 2 years of trying to catch it, it finally took the bait of a not quite ripe main crop Fig) and I haven't seen any of them since. It could be there is another one around now.
Happy New Year, kiwibob Seattle