I already have this dock and it is working correctly with both an old PC and my work laptop.
I am hoping to get an old laptop (specifically the Lenovo IdeaPad 1).
This laptop has a USB-C port but it does not seem to support DisplayPort Alt Mode or USB-C Power Delivery.
Will the dock work with this laptop if I connect my two monitors to the Display 2 & 3 ports, and I keep the laptop charged via its normal power supply?
Yes, the UD-ULTC4K should have no issues running in the configuration you mentioned. Do note, the DisplayLink drivers will need to be installed on the older laptop as well.