Dave is absolutely right, my apologies, I now understand that it IS now an offence not to your dog on a lead on the pavement under the local byelaws enacted by Conwy Council under the Dog Control Orders (Prescribed Offences and Penalties, etc.) Regulations 2006 and the Dog Control Orders (Procedures) Regulations 2006, which implement sections 55 and 56 of the Clean Neighbourhoods and Environment Act 2005.
Even if the enacted regulations appear to be a sledgehammer to crack a nut, the enforcement is ludicrous and alienating decent members of the public. Remuneration based on the number of penalties issued for is known to be an appalling methodology of enforcement; the type of people employed to be 'enforce' these type of regulations are the equivalent of wheel clampers, who will use any triviality to enhance their own salary, usually minimal, to enhanced by their results.
This method of enforcement of should itself be made illegal.