Please follow the below steps to move contacts from one list to another list
 
1. Please go to  contacts and click on  Lists
2. Click and open the list from which you want to move the contacts
3.  Select the contacts that you want to move
4. Click on  bulk action and select  Move to Other list
5. Select the list from the drop-down
 
The contacts will be moved to another list. It will take a few minutes based on the number of contacts that you have selected.
 
Note: The option "Move to Other list" will appear only if you select the contacts from a list.