Unfortunately you can't view new saved replays anymore unless you click the share button at the time instead.
If you share the replay then you can get access to the replay URL for viewing at a later time.
Please note that this 'later time' will come to an end on Dec 29th 2020 when flash is being disabled by WGT. This means that the flash game we have been playing up 'til now will not be available and any replays will not work.
If you want to save any replays that you currently have, you will have to record them with a screen recorder before flash is disabled on the aforementioned date, currently 6 days from now.