I had an offer accepted in mid-June; no chain. I've had my mortgage offer through and the survey done. There is an issue with ownership of an outbuilding so the vendors are sorting that out with the Land Registry. Searches not done yet but unlikely to be anything tricky there.
I'm hoping that I might be in by the end of October but realistically who knows. I've no idea how long the LR are taking to process casework at the moment. Once that's sorted it should all be pretty quick.