https://www.piriform.com/recuva/download just displays html code
I can click on both the Piriform and FileHippo links and Recuva does download.
What link are you clicking on when you are on that page?
It wasn't just you. I was trying to get the portable version, and I was in an endless loop that returned me to the homepage. I was able to get around it by grabbing the direct link and going directly there. Something has broken in the navigation tracking that keeps track of how you get to it and redirects you back to the homepage. It is almost like what a lot of sites do to prevent direct external links to their downloads. If this is the case, you may still have to go to the page and stop it on the "Thank you for downloading" page. Then copy the below link and paste it in that windows address bar to get the actual window. For me the "If it doesn't, please use this link to start the download" link didn't work either until I happened to find these links and pasted them in the window. I hope it helps those having troubles.
Here is the portable download link:
http://www.piriform.com/recuva/download/portable/downloadfile
Here is the standard installer download link:
http://download.piriform.com/rcsetup153.exe