This has become a thing, roughly since I published Ecology without Nature, but there was a sort of prelude to that in the work of John Llewelyn and David Wood. It's really quite extraordinary actually. You wouldn't have thought that deconstruction and ecological thought would go well together, but they really truly do. I'm reviewing this really interesting book in that regard, called Without Mastery by Sarah Wood. Like Anna Tsing's book, it's a massively empowering read--again, if you have prejudices you might not expect that out of deconstruction, but you'd be wrong.
If you look back over Derrida's work you'll see him talking along the lines of something almost ecological all the way back at least to Of Grammatology. So it's not just the “later” Derrida aka The Animal that Therefore I Am and so on...I tend to think that this “later Derrida” stuff ignores how consistent his thought is, just like how Graham argues about Heidegger's consistency (and there's another deconstructor...).
I'm a weird OOO-er, aren't I, because I sort of backed into it via deconstruction. It's possible!
So, my list of British deconstructors who write about ecology, a lot:
If we include Australia we also get Claire Colebrook...and if we include Canada, we get at the very least Matthew Calarco and David Clark...feel free to add names, I have to keep on reading Sarah wood's new book.