The plan is for Scotland to honour all current visas. Any reapplications/extensions/etc would then just go through the Scottish system thereafter rather than the UK system.

The intention is also to make immigration to Scotland easier and more forgiving, and expand the number of visas granted, not tighten up the rules.

http://scotreferendum.com/questions/i-am-living-in-scotland-...

http://scotreferendum.com/questions/what-will-an-independent...