Some of the right wing press is reporting that with the defeat of the amendment calling for a second referendum, this is no longer an option.

This is mindless balderdash. What Brexit (or indeed its revocation) is deciding is the long term relationship between the UK and the EU. A referendum can never BE that: no-one sensibly claimed it could. A second referendum is a mechanism to choose between alternative relationships. It is not, once again, a relationship in itself.

I do not support a second referendum for the same reasons I did not support the first: it is something Parliamentarians should decide. But if they cannot, votes not withstanding, SOME means of deciding is required and a referendum is one of the few choices available.

Also, that part of the press is tends to ignore that the groups arguing for a public vote requested this should not be voted on at this time, and that was clearly stated several times during the debate itself. That, along with some parliamentary rules about amendments led to Labour abstaining en mass.   It takes a deliberate obtuseness to claim this shows there is no support for the idea.