At this point in time, it is practically too late to have another referendum - the reasons for that are explained quite well here:
https://theconversation.com/brexit-here-are-the-barriers-to-a-referendum-on-the-final-deal-100109
Suffice it to say that it would be unprecedented in UK legal history if it were to happen. The fact that prominent Remainers (Tony Blair, Nick Clegg etc.) are calling for such a referendum is only playing into the hands of those who believe (rightly) that a referendum on the Brexit deal is a clear attempt to reverse the result of the first one.
But perhaps the biggest problem with a second referendum is that it could very well produce a result that solves nothing, or even makes matters worse (if that is possible). What would the question be? Is it fair to have two leave options and one remain (thus splitting the leave vote?) - and, let's be frank here, if the first referendum is proof that the British public cannot be trusted to make such an important decision, then why is a second referendum on the subject a good idea?
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My discomfort with the idea of a second referendum goes beyond these considerations though - I would also ask 'If the UK cannot leave the EU now under our current circumstances, then when will it be possible/easier to leave?' The answer to that, I'm afraid, is that it will never happen - and, one suspects, that is largely the idea as far as the EU are concerned. But although I voted Remain, I suspect that many people like me were not only disappointed, but really quite concerned about how the UK's ideas of EU reform were largely rejected prior to the referendum, and that the EU is doubling down on further integration (as it must, since the Eurozone demands it). As a result, the UK and the EU are on fundamentally different (albeit tightly intertwined) future paths - but I seriously doubt that a majority of UK people really see the UK changing direction on this any time soon - the UK never was and, I would argue, never will be fully signed up to the EU's grand plan of ever closer union... and that, ultimately, means that it is not a question of
if the UK will leave, but when - and, crucially, how. But, even though we are not part of the Eurozone, the EU are seemingly making it politically impossible for us to leave without causing a catastrophic split that benefits no-one - and that, to me at least, has very serious implications if the UK decided to abandon Brexit for the time being, only to pursue it at a later date when relations are even more fraught, or, worse still (and which is arguably more likely) when the EU is fracturing and facing departures from other member states for different reasons. However much it pains me to say it, while Brexit now is going to be very painful, it is probably far preferable to what we might face in ten years' time.
However, that's only my understanding. I've not dug too deep into it.
