There is nothing in the UK Air Navigation Order that requires any particular style of logbook, provided that the necessary information is recorded.
However, in a couple of years time, EASA will take over from the JAA and enshrine the contents of JAR-FCL into European law, which supersedes national law in all EU member states. This means that, where there is a conflict between the UK ANO and EASA standards, the EASA standards will be supreme, which may impact on the design and content of a pilot logbook acceptable in Europe.