Bruce covered the song 5 times in full, 4 times as a snippet:
1974-10-05 - BOLLMAN CENTER, ALBRIGHT COLLEGE, READING, PA
Of major historical interest is Bruce's rendition of Sam Cooke's "Twistin' The Night Away", the only verified performance by The E Street Band. One show, held in the sold-out 2,000-seat Bollman Center. Springsteen & The E Street Band headline. Folk stylist Jae Mason (and his band) opened with 45-minute set. Although violinist Suki Lahav had made her debut the previous night, she is not present at this show or the following night at Clark University. The partial setlist from the show is mentioned in an extensive review that appeared in the school newspaper and a review in The Gettysburgian, student newspaper of Gettysburg College. Springsteen's set lasted for 2½ hrs (no intermission) and Bruce actually comments to the student reporter after the show that this was one of his longest shows to date. The reporter states that following the show the band (including Springsteen) were laid spread out on the stage in a state of total exhaustion.
2002-04-13 - THE STONE PONY, ASBURY PARK
Private benefit for the Rumson Country Day School.
2002-04-14 - THE STONE PONY, ASBURY PARK
A second private benefit for the Rumson Country Day School
2003-04-30 - THE STONE PONY, ASBURY PARK
The second year of the private Rumson Country Day School benefits with Bruce, Patti Scialfa, Jon Bon Jovi, Southside Johnny and Bobby Bandiera (is is not known who played on what songs).
2004-04-25 - THE STONE PONY, ASBURY PARK
The third year of the private Rumson Country Day School benefits with Bruce, Patti Scialfa, Southside Johnny and Bobby Bandiera. Bobby Bandiera and his band provided backing throughout the night, along with Jukes horns Ed Manion, Joey Stann, and Chris Anderson.
during QUARTER TO THREE
1976-10-29 Palladium, New York City
Gary U.S. Bonds, whom Bruce had met for the first time a week or so
before, guests on a moving "Quarter To Three", which includes a bit of
"Twistin' The Night Away" in the midsection.
during MY CITY OF RUINS
2012-09-22 Metlife Stadium, East Rutherford
Bruce and band take the stage to "In The Midnight Hour
for their last show of three at Metlife Stadium, and the final stadium
show of 2012. The set was delayed by two hours due to thunderstorms
passing over the stadium. "My City Of Ruins includes "Twistin' The Night
Away". At midnight the crowd sang "Happy Birthday To You" to Bruce and
prior to "Twist And Shout
Bruce cut a cake (delivered by Bruce's mom Adele, his oldest sister
Ginny, Patti Scialfa's mother - introducing whom Bruce sings a line from
Allen Toussaint's "Mother-In-Law
- and brother, plus Maureen Van Zandt) for his 63rd birthday, and
shared it with fans in the pit, who once again sang "Happy Birthday".
Patti Scialfa is not present.
Bruce singing :
"Let me tell you 'bout a place Somewhere up a New York way Where the people are so gay Twistin' the night away..."
during MARY'S PLACE
2002-12-08 Charlotte Coliseum, Charlotte, NC
"Mary's Place" includes snippets of "Twisting the Night Away" and "Rescue Me