The line was orginally used is the hit TV show The Brady Bunch. The character Jan was complaining Marsha, her sister, was getting all the attention at a party and got so upset that she whined "Marsha, Marsha, Marsha!"
Primary definition: A whiny dramatic response by someone who is jealous of another person. The name Marsha could be changed with the name of any person you're mad at.
Secondary: Could be used as sarcastic reply or to make light of a seemingly ridiculous situation.
Lucy: "My sister always gets to sit in the front seat."
Gina: "Marsha Marsha Marsha!"
Amber: "My sister never shares the phone with me!"
Heather: "Marsha Marsha Marsha!"
Reminiscing, remembering fun times, remembering a time when life was more simple
We'd play hide-n-seek only after dark, back in the day.
Back in the day, I could beat Mario Brothers in 10 minutes.
Back in the day, I'd bug my sister 'til she ran to her bedroom bawling, then laugh hysterically.
Kind of a non-sensical or silly reply to an insignificant idea or event. Could be used as sarcasm. Considering wings are important to chickens to say something is insignificant by calling it a chicken wing, I think, makes the statement funnier.
Greg: "That jackass cut me off!!"
Peter: "Ain't no thing but a chicken wing."
Jan: "I went out with John last night and I don't know if he likes me."
Marsha: "You ain't no thing but a chicken wing."