Sticky options does not work in customizor with AMP:
Appearance > Customize > Layout > Sticky Navigation NOT WORK ಥ﹏ಥ
Appearance > Customize > Layout > Header > Sticky NOT WORK ಥ﹏ಥ
We’re in the process of reviewing the Sticky Navigation options within the theme. This may include a CSS version which can be enabled, but currently those few lines of CSS is the best way to do it.