From what I know the Common Travel Area with Ireland would almost surely not be effected by a Brexit. In fact, it predates the countries' EU membership by quite a while.
>The UK has an open land border with another EU country - Ireland - and so far the Brexit campaign have been very unclear about whether this would continue
It would - see the Ireland Act 1949.
>what implications that might have for ""controlling immigration"" and ""protecting borders"".
That is what's ambiguous.
The UK has an open land border with another EU country - Ireland - and so far the Brexit campaign have been very unclear about whether this would continue and what implications that might have for ""controlling immigration"" and ""protecting borders"".