This happened to me a while back and after a few days I saw my bitcoin cash bank in my wallet. It may take a few days!
do that happens with other currencies or only with bitcoin cash?
I can remember my friend does the same with other currency but wont get back any.
I think, this is possible because BCH is a pork of Bitcoin, They have the same structure and as we all know, We received this so-called BCH in our Bitcoin Address before, So I really think that they can bring it back the LocalBitcoin have their Primary Keys. You just really need to contact them, if they can give it back. It's always a good thing to ask the support.