Neighbors fence fell down, tenant wants me to fix it

[Jack B.]

Neighbors wood fence at one of my rentals has fallen down. The posts are on their side of the fence. I explained to the tenant that I will do my best to address the issue, but that I can't force the neighbor to put the fence back up since it's their fence. 

I gave the example of my own neighbors wood fence, it blows down every year during wind storms and they always take almost a full year to fix it. As much as I don't like it, I can't jump my chain linked fence and go fix it for the neighbor or force them to fix it.

I do wonder though, if there is anything stopping me from paying to have the fence fixed myself AND if there  isn't anything stopping me, if I should. 

My thought is that I should, as I wouldn't rent the place like this more than likely.