There is no current simple way to do it via and webmaster tool like google/bing have.
The only way is to use the Web Discovery Project (WDP) to get more than 20 random hits to your URL so that it gets ‘re-indexed’
To get the 20 results, you can do it yourself (make sure to change IP, and try different brave browser installs) or it will have automatically as those brave user with WDP enabled will visit your site getting your new URL webpage reindexed.