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Around $10 in labor, plus the cost of the shaft and grip. This should make it so the old shaft can be reused later.
Some proshops might give you a break if you buy the shaft and grip from them, but that has been my experience.
PGA Superstore has a "Players Club Plus" which costs $99 a year. Gives you free use of hitting bays with video (face on) and launch monitors PLUS FREE CLUB REPAIR, GRIP REPLACEMENT AND ANY OTHER LABOR. I've had grips saved, clubs reshafted and grips put on. I did not buy grips or shafts from them. Labor is free for Plus members.
Great deal if there is a store near you -- even without the free labor. Use of bays is great way to work on swing.