To export the ReferenceTooltips gadget, click on "Download" button, save the downloaded file, go to Special:Import on the destination wiki and upload it. Then add the following to MediaWiki:Gadgets-definition page:
* ReferenceTooltips[ResourceLoader|default|type=general|dependencies=mediawiki.cookie,jquery.client]|ReferenceTooltips.js|ReferenceTooltips.css
You must have appropriate permissions on the destination wiki (including the right to edit system messages) and import from file uploads must be enabled.