not sure it was actually 'the' cheese... but a few months ago I ran across some 'original cheese' at a local dispensary, it was very nice
have to be on my top 10, very potent but was more uplifting and felt more like a sativa high. I know why they called it cheese
you could go to the store get a bag of cheetoes, two baggies and a blind fold (well you might not have to go to the store for the last two, lol). Get a friend blindfold him/her, put a nug in one baggie and a couple of cheetoes in the other and s/he might not be able to tell the difference.... it was some of my favorite smelling bud of all time.
But like I said earlier, because of the more sativa high I experienced it might not have been the british strain of cheese, but it was a very good med...
Also had a Swiss Cheese strain, it was not as strong in either smell or potency but, there was a musty smell that could be similar to a Swiss, Provolone or Parmesan kind of an oder. While not as potent it was more an Indica high and was a pleasant smoke with good taste.