There has been a lot of speculation about this lately, especially as it was announced in the US that the Apple store there would start a price match in December 2013. However if you put 'uk apple store price match' or similar text in a search engine you will find that there is still no definite price match for Apple stores in the UK.
The best source of information on this point seems to be the money saving expert site - if you click here you can find the latest updates on this.
The situation at present is that some customers have contacted various outlets asking for a price match and been told that it isn't available. However, with so much interest and with a new policy being announced in the US, it surely can't be long before the same is offered in the UK, so it's a good idea to keep checking the above site.