It has been done more than a few times.
I think it is fair to say there are two schools of thought.
There are those that say it is far more important to learn how to avoid ever spinning and those that say every pilot should at least exerience a spin during their training.
The CAA appears to have sided with the first camp, I suspect mainly for reasons of risk and reward. In other words weighing the risk of spin training against the fatalities involving instructors during spin training has lead them to believe it was better to remove this element from the syllabus. I guess there are similarities with shutting an engine down at the annual renewal.
FWIW I have always thought it is a jolly good thing for every pilot to experience a spin at some point in their flying (I mean an intentional spin) but I am not convinced it should be a compulsory part of the PPL syllabus.
As the earlier poster comments there are now a lot of instructors who are unable to teach spins and many schools without suitable aircraft. If spin training were now re-introduced it would require some significant changes within the current training infra structure and I therefore dont think is likely any time soon.