Hi,
Just want to share my Barclays experience with you guys here.
I opened an account in Barclays so that I can sell or buy coins at bitbargain.co.uk. They opened my account and after 3 days I received a letter that they will be closing my account soon. They haven't given me any specific reason.
Then I came across to this post.
http://www.reddit.com/r/Bitcoin/comments/1sgcm6/my_bank_has_frozen_my_account_because_i_sent/
I have another account with Natwest and I have been using that account for buying coins from localbitcoins. My guess is that they did some sort of history check and didn't like that I have been buying Bitcoins.