LiteSpeed is a drop-in replacement for Apache (i.e. it can interpret .htaccess files too), so you can continue developing on Apache locally (i.e. MAMP) and push to a LiteSpeed server without any issues at all.
The work for adding Apache as an available web server is in the next sprint, which starts April 27th and lasts two weeks. They expect to have this feature released by the end of the sprint May 11th.