Yougov have just released a poll on Scottish Independence which shows almost the same small lead for "No" over "Yes" a month after the Bexit vote that they had found before the EU membership referendum.
The lead for "No" (e.g. to remain part of the UK) is not enormous and suggests that if there were to be another referendum it might well be close. However, it does appear, if you will pardon the expression, to "scotch" the suggestion that there has been a massive swing towards Scottish independence from the UK since the EU membership vote. (The change is only about one percentage point, well within the margin of error.)
Yougov say here that
"Fully 46% of Scots say that they would rather live in a Scotland that was still part of the UK post-Brexit, against 37% who would rather live in an independent Scotland that remained in the EU.
(These numbers translate to 55% vs 45% once don’t knows are stripped out)."
In other words, pretty much the same result as in the previous Independence referendum.
The idea that Britain voting to leave the EU would make Scotland more likely to vote to leave the UK was based on the assumption that Remain voters who wanted Scotland to be part of the EU would have to switch to supporting Independence so that an independent Scotland could re-join the EU.
However, Yougov add that
"Support for the union is buttressed by the fact that 43% of those who voted to Remain in the EU last month want Scotland to stay in the UK after Brexit."