Vines on cable line

I recently contacted Verizon to have them remove vines from my cable service line.  The technician came out, took one look, and said "Verizon doesn't remove vines.  We got out of that business awhile ago."  I contacted my power company, and of course they won't touch Verizon's line.  I'm at a loss as the vines are growing from an area that's contested between my neighbors, but the vines are adding to much weight to the line that it's pulling off the house siding where it attaches to the house.  Any advice?