There is a bunch of possibilities to save CSS and HTML changes made using chrome devtools (eg. with Tincr) or using firebug BUT only on local host.
Questions have been asked long ago* about this, but there might be hopefully some updates since.
Is there a way to upload the changes made for instance using chrome devTools to a website hosted on a remote server? (Like filezila does on FTP)
Would it be possible (and safe) to save these changes via a PHP script that would provide FTP and DB login ; a script that would work with one or another development tools?
*: 2008 : Why can't I save CSS changes in Firebug? 2011 : How to save CSS changes of Styles panel of Chrome Developer Tools?