I cannot Speak for Japaneese Honeysuckle - but can talk about Morrow's Honeysuckle which is a close relative.
Morrow's is very invasive and our deer ignore it for everything but cover. We have alot of it - apparently there was talk in the 40's -50's about it as "natural fencing" for cows -(at least that is what I was always told). If Japanese Honeysuckle is anything like it - and you own the land - I'd say "Steer Cleer".
FH