We know that in the absence any written constitution, the Establishment largely make up the rules as they go along, but this Select Committee report from 2010 seems to set out what the situation is…ie that because of the sovereignty of parliament referendums cannot be binding in the UK and are therefore advisory, although difficult to ignore…
It will be interesting how that is interpreted.
I’m not a lawyer, but it seems to me to suggest that parliament has the right to debate Brexit, but that there would have to be a very good case for ignoring the result.
Maybe 52-48 is not “decisive”. Maybe the fact that Gibraltar, Northern Ireland and Scotland, 3 of the 5 constituent states involved, voted more solidly NOT to leave makes the overall result less convincing and a case for ignoring it.