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I came back from Dover Priory on the SE high speed train and it was fine. Fortunately there were no wheelchair users on the service as they rightly would take priority in the spaces provided. There were two of us occupying the space and a couple got on at Folkestone with bikes, so it got a bit cramped. But overall, absolutely fine. No straps for securing the bikes, though. You just have to lean the bike into the space.
Has anyone tried taking a bike on SouthEastern trains from St Pancras to Dover priory. At the time slot I booked the website said they had space but when I asked their customer service on the phone they said it could not be guaranteed and was subject to space, etc. Any experience would be gratefully recieved.