Open Profile Requests are easy to keep track off. You receive a mail from Paul telling you that the profile's been opened. Usually takes 24 hours or less.
For Trusted List Access requests on the other hand, you can see a list of your requests on your menu (My WikiTree / Requests). If after a week or ten days with no reply you message the manager, in view of using the Unresponsive Profile Manager procedure if necessary, that is when you'll need a doc or something to keep track or what you're doing.