Evan,
The answer to your question is dependent upon a myriad of factors. Location, type of grass or grasses present, weather forecast, fertility, the type of verticutting being done, etc. are necessary pieces of information for a specific answer.
If regular light verticutting has been done it should heal up in relatively short order. If a Graden or Sisis has been used to verticut it while take a little while longer to heal than traditional verticutting. Here in Ohio, on bentgrass greens we heal over from a Graden operation in 7-14 days. Usually by day seven the lines are hardly noticeable, and by day 14 you cannot even tell we did anything.
The best way to get this question answered is by the superintendent of your club. I am sure he would be more than happy to give you more information on the process and the events preceding and following than you will ever want to know.