As frequently pointed out, this could only operate on a basis of international agreement, which seems unlikely to be forthcoming, otherwise most trading would merely transfer to non-taxable jurisdictions.
I was instinctively against this idea originally as an unnecessary restriction on market freedom. Nevertheless, viewing, for instance, the huge volume of algorithm-driven high frequency trading on miniscule margins that seems to benefit no one except investment banks, I do wonder if it is not something whose time should have come, in the inerests of shifting the balance somewhat back towards longer-term investing. If more shares were still in the hands of long-term investors, there might, for instance, be a rather better chance of more effective shareholder action to restrain excesses in executive pay, which is another issue that needs to be addressed.