New Jungle: How about an item which grants AD depending on base health regen?

Since health regen is getting reworked anyways, I thought it might be an interesting idea to create a jungle item which especially benefits tanks, which usually have relatively hight base health regen.

Some might say: Why not simply add an armor AD jungle item? These items have been avoided in the past - for a good reason since many bruisers abused them to the maximum.

I think that an item with damage (maybe just vs monsters) based on base-health regen might help to create a healthy way to keep tank jungler viable in the new, more difficult jungle.