as you cast this spell. If you do, put this card into your hand as it resolves.)Choose a counter on target permanent or suspended card. Remove that counter from that permanent or card or put another of those counters on it.
Clockspinning can affect any kind of counter, not just a time counter. The type of counter isn't chosen until resolution. Whether to add or remove a counter isn't chosen until resolution.
(9/25/2006)
If the target is a permanent and it has no counter on it when Clockspinning resolves, nothing happens.