Getting Rid of Honeysuckle on a Fence?

Will rock salt work to kill honeysuckle vines? I have livestock fencing that I need to eradicate this from. I have read that salt will kill it. As this is a fence row, I am not concerned with planting it. It is approximately 1/4 acre of fencing and I am looking for a cost effective and animal friendly way of getting rid of this. It is a 5 foot high fence of galvanized wire with 4 inch squares, that has been stretched between locust posts. It's a pricey fence that I do not want destroyed by this vine.

By Debbie