How long should it take?

If the shop is backed up, that's one thing. But it would bother me a lot if I drop something off and they have no idea what is mine or what they were supposed to do to it. All work should start a shop ticket of the work to be done and your name and date on the top with a tag attached to your part(s) before you leave the place or the parts with them.
The guy did take my name and number and he wrote down what they were to do.......I never even got a copy of the ticket so technically I had no proof of leaving the parts there. The shop was very quiet and any vehicles I did see inside were the owners so it was not very busy or it was not perceived to be busy. Happy to report that the office secretary call a little while ago saying I can pick up my parts.