I think it will be a while before we see some sort of standardised diktat saying we can or can't fly, if ever. For starters, the edicts are differing all across the country now as to what people can and can't do. My local club is shut as I'd imagine most are across the country. Many airports/airfields are also closed and strictly PPR for CAA authorised "maintenance flights" only for GA flyers.
My view is that the CAA will say/do nothing for now, until the various forms of Govt in this country form a cohesive policy on loosened restrictions (ha!) which will enable businesses (including flying clubs and airfields) to open again. Confusing considering aviation is not devolved and remains a UK-wide policy however the "stay at home" message still applies in Scotland. Frustrating times.