YES this would be fantastic! Especially for people who are going to frequently use the same tutor every week, or every other week and want to set it up in advance.
I think thats a wonderful idea, this way, you build up a closer relationship between tutor and student... They will get to know you better, and trust you more and if they think you are a good teacher, they can spread the word... :)
Frodien
This is a regular problem with me. I would love to be able to have sessions every 3 days, but with my schedule it has been more like every 8-10 days. Which now means waiting until 6 days before and then booking the session.