There are various attempts, but currently no one - especially not HMRC - has any idea how to handle VATMOSS correctly.
I've heard a few stories about small businesses suddenly getting demands for thousands of pounds (etc) after only a handful of transactions.
But what I suspect will happen is that HMRC will realise that chasing and fining microbusinesses for non-compliance is a complete waste of everyone's time. They won't bother unless businesses are being obviously, blatantly fraudulent - and considering how short-staffed they are, perhaps not even then.
It'll be similar to the EU's legislation about cookie notices, which created a big initial compliance explosion, but now seems to be being quietly forgotten.
The UK is lobbying hard to set a minimum threshold for VATMOSS. It will take a few years for the idiot lawyers in Brussels to catch up, but even though some member states seem to think VATMOSS is a good thing, common sense and experience will prove that it's utterly unworkable and destructive in its current form.