Earlier quoted context omitted.
MP's are in a hard place because of this. The majority of them are pro-remain, having concluded that brexit is damaging and dangerous and cannot result in a better deal. ... but they will be whipped into line by government (Tory) and party leadership (Labour) insisting that they follow the settled will of the clear majority of the people ... but the will of the people is neither settled nor a clear majority.
I really wish they'd stop calling it a "clear majority". I'm not sure when 52-48 was ever such.
It's a majority though. If they wanted to have a higher threshold for the vote (say 60%) they should have done as much when writing the referendum.