There actually needs to be a specific reason when arguing for another referendum along the lines that the previous referendum was not valid. A petition by itself is not enough. You could argue that too many postal votes went missing for such a narrow margin, or because the electorate were clearly lied to etc.
It's highly likely that the referendum itself was a result of Tory infighting to remove David Cameron and that no one actually expected it to succeed. After all, this is the party that gave inspiration to the original TV series of House of Cards. So if a new leader emerged that was pro Remain, the backlash against the results was extreme enough and there was a significant majority asking for another referendum with a valid reason, then they might become bold enough to promise it. But it's highly unlikely. Gove and Johnson have won.
It's highly likely that the referendum itself was a result of Tory infighting to remove David Cameron and that no one actually expected it to succeed. After all, this is the party that gave inspiration to the original TV series of House of Cards. So if a new leader emerged that was pro Remain, the backlash against the results was extreme enough and there was a significant majority asking for another referendum with a valid reason, then they might become bold enough to promise it. But it's highly unlikely. Gove and Johnson have won.