Jetpack is a commonly used plugin on-sites the plugin will not remove all of its data when it is uninstalled.
You can use a simple plugin that will delete two of the common option names in Jetpack. In order to delete the two main options for Jetpack, the plugin will need to be installed from the locally downloaded zip file and activated and it will delete the two options and then delete itself.
jetpack_options
Jetpack_private_options
A complete list of the Jetpack options is as follows;
jetpack_activated
jetpack_activation_source
jetpack_available_modules
jetpack_connection_active_plugins
jetpack_dismissed_connection_banner
jetpack_options
jetpack_private_options
jetpack_sync_https_history_home_url
jetpack_sync_https_history_site_url
jetpack_tos_agreed
Another plugin option to easily remove the transients that the Jetpack plugin does not delete would be the Transients Manager.
After you have installed and activated the plugin it will add a new sub-menu to;
Tools > Transients
Then search using either jetpack or jetpack_ and it will show any transients which are related to it. Select the transients that you want to delete and then click on the Delete Selected Transients button.
Using the two easy plugin methods should help you remove some of the Jetpack bloat that might be left on your site.
Useful Links
https://github.com/automattic/jetpack-addons/
https://github.com/automattic/jetpack-addons/archive/add/jp-rm-options.zip
https://wordpress.org/plugins/transients-manager/
