The UK's financial industry regulatory body, the Financial Conduct Authority, is consulting on "cryptoasset" regulation until April. They've issued a document that contains their views on various aspects of the industry and how they might be regulated.
It's a good read to see how the UK (or at least, part of its regulatory apparatus) is looking at the crypto industry. One area they seem to have fallen short on is their evaluation of the types of businesses operating in the space. For example, it appears that their view on "wallets" is that they hold the cryptocurrency on behalf of users but many wallets are just software that enables users to hold cryptocurrency directly. I can't fault the FCA for this since the term "wallet" is used for both configurations and I expect by the end of the consulation they'll have this cleared up.