Divine Intervention’s third ability triggers only if its controller removes the last intervention counter from it. It doesn’t matter how that happens. For example, if you control Divine Intervention and the last intervention counter is removed as a result of a Clockspinning you control, the ability will trigger. On the other hand, if the last intervention counter is removed as a result of a Clockspinning another player controls, the ability won’t trigger (and won’t ever be able to).