Is ivy (genus Hedera) a shrub or an herb?
Woody plants are usually either trees, shrubs, or lianas. Ivies are lianas, they can have 40 years of woody growth rings and bark. The categories are flexible. It's an arbitrary division for convenience, it isn't that clear cut. Bamboos for example, are a woody grass.

https://weedwise.conservationdistrict.org/weeds/english-ivy#foobox-1/7/Untitled-4-copy.jpg

Does that count as a woody plant? yes it's a woody liana.