I've been in the UK since September, and in that time have moved house, planned a wedding, had said wedding (back in the States), and started job hunting. I've also been back to the US three times since I moved (in October, to pick up my cats; in December, to visit the family for Christmas, and in March, for the wedding), so each time I come back to the UK, there's a bit of an adjustment period. And although I've lived in several different cities and states, my hometown (where my parents still live in the same house I lived in for the first eighteen years of my life) will always be home, no matter that I've not lived there for nearly ten years!
That said, I did have a brief flash of "thank goodness I'm home" when we got back to the UK after the wedding - walking into Sainsbury's and knowing that I could get this food or that detergent, hearing familiar adverts on the telly, etc. I'm not sure how much of it was related to just being glad to finally be home after all the traveling we'd be doing, and how much of it was specifically that I felt like I was home - being reunited with my cats certainly felt like a homecoming!
I think it's definitely gotten easier, recently, to see the UK as home, or home of a sort, anyway - now that we're in a nice house, in a friendly area, and I'm getting to know the town, and it's staying light out later and later, things have been much easier than they were this past winter, when it got dark at 3pm and we were all cooped up in that awful little flat and I missed my family (and Southern food and weather!) like crazy. We'll see how it goes later this year, when it's been six months since I've been to the US and the days are getting shorter and shorter....I may be telling a different story, then!