All the Brits need now is a leader willing to MAKE GREAT BRITAIN GREAT AGAIN
That is what the REMAIN side is now hoping for.
My prediction:
The Labor Party will all for a vote of no confidence in May, resulting in a new election for Prime Minister.
The EU will "pause" Brexit until after the March deadline to await the outcome of the election.
Most likely, the UK will elect a REMAIN Prime Minister who will then call for a second referendum. The EU will happily "pause" Brexit until after the referendum.
This is no different than Democrats who keep voting until they get the outcome they want.