You can uninstall or removes an installed asciinema package itself from Ubuntu 16.10 (Yakkety Yak) through the terminal,
$ sudo apt-get remove asciinema
If you would like to remove asciinema and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove asciinema
If you use with purge options to asciinema package all the configuration and dependent packages will be removed.
$ sudo apt-get purge asciinema
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove asciinema