Having trouble understanding what it is you are trying to do, but I think you mean you want to drill a hole on the side of a spindle to accept a clock. If so, I'd drill it after turning. If you drill it first, you will be catching the edge of the hole with your turning tools and could possibly cause damage or chip out. Got an example picture of what you are trying to make?
Cheers,
Brad
Cheers,
Brad