It's a lovely thing is a hawthorn hedge, and very stock (and people) proof; but you're a brave man, it can be a nightmare to trim and clean up behind
My Dad planted one nearly fifty years ago, my brother still lives in the house, and he finally grubbed it out ten years ago. Every tiny wee scrap and thorn you cut off needs to be picked up or else your hands or feet are in peril for years. He'd just had enough of keeping it tidy.
We have holly growing in our beech hedge, and it's just about as bad as the hawthorn.
Birds love them though, insects like spiders happily colonise them, and they're hardy. Kept trim there's not much goes through or over a hawthorn hedge
cheers,
Toddy