I know this is an old question, but I fixed this issue by breaking up my very long fence (along a road between two very distant houses; don't know how far in terms of blocks/meters, but it was about 1/2 to 2/3 of a day to walk between them) into shorter sections by putting a stone block in, which also conveniently gave me an attractive place to put a torch to light my way and make my road somewhat safe to travel even at night.
So instead of
FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF [ad nauseum]
(F = Fence; S = Stone)
Sorry for the lack of a screenshot, but that world has long since been lost. :-(