I don't see why it wouldn't apply. If you are PAYE normally the tax is taken at source. Once you have paid the tax I guess you can do whatever you want with your money, reinvest it, buy a car, splurge it in a casino in Las Vegas etc etc. As a non-domiciled if you reinvest abroad the money on which you have paid taxes already in Ireland and never ever remit that money and profits that you eventually make into Ireland, I don't see why the remittance basis of taxation wouldn't apply.