NO the vote was clear no compromise we exit full-stop.
51/48 is clear ? I wouldn't characterise that as a clear mandate to leave. 90/10, yes, 80/20, yes, 70/30, yes, but 51/48 was pretty much neck and neck; that kind of slim majority could easily evaporate or go the other way, just remember how the electorate changed in the last election decimating the Conservative majority.
Major change should be mandated by a clear instruction from the electorate, not a wafer thin one that will likely evaporate over time as the predominantly leave voting elderly die and the young who are overwhelmingly remainers attain voting age.
Apart from all of which, a wise ruler should always seek to represent the wishes of the entire population, not just the largest faction, with minorities being ignored. So in Brexit parlance, this might manifest as the softest possible Brexit as opposed to a hard Brexit. Compromise is good, in principle, don't you think ?