When used years ago, this term referred to the experience/efficiency that you possessed regarding your employer's required tasks.
Nowadays, however, it often merely refers to how expert you are at giving head and/or "spanking the monkey", plus how willing you are to administer said sinful pleasures to your boss whenever he requests you to do so.
I wonder if Willie asked Monica a lot of "in-depth" questions regarding her "job skills" when he originally interviewed for her internship?
Anyone can have Asian skills. Asian skills are skills that are out of the ordinary thus being named after the oriental people because Asians are prodigious in every category.
*While playing ping pong*
White dude: Watch my Asian serve I learned on YouTube.
Asian dude: Wow! Asian skills!