Customers who have an account can see all of their quotes in the My Account area of your shop.
A new menu item is added to My Account, just before Log out. It opens a list of the customer’s quotes with the Quote number, the Date and the Status. The list is split into pages. The customer clicks a quote to open it. See View, accept and reject a quote.
The menu item is called Quotes. To change it, go to PSM Plugins → Request a Quote → General Settings and edit My Account Endpoint Label.