Bye Felicia is a common meme.
Here's what it means.
When someone says that they're leaving and you could really give two shits less that they are. Their name then becomes "felicia", a random bitch that nobody is sad to see go. They're real name becomes irrelevant because nobody cares what it really is. Instead, they now are "felicia".
Urban Dictionary: bye felicia
A.K.A. it means begone!
It originates from the 1995 comedy film Friday, here's the dialogue.
Felicia: Let me borrow a joint.
Smokey: You need to borrow a job with your broke ass. Always trying to smoke up somebody's shit. Get the hell on Felicia.
Felicia: I'm gonna remember that.
Smokey: Remember it. Write it down. Take a picture. I don't give a fuck!
Felicia: Craig?
Craig Jones: 'Bye, Felisha.
Felicia: Damn. Y'all stingy.
The meme started around 2008.
On December 7th, 2008, Urban Dictionary user pimpin'817 submitted an entry for "bye felicia," describing the phrase as a way to bid farewell to someone who is deemed unimportant. On October 27th, 2011, YouTuber Mamclol uploaded a video titled "Bye Felicia," featuring the clip from Friday with an accompanying hip hop track about the character.
Bye Felicia - Know Your Meme
If you want to go more into depth here is a Thesis history of the meme. Bye Felicia - Know Your Meme