A second half demolition job saw Livi defeat Clyde at the fifth time of asking at Almondvale, and set up a 4th round tie at home to Dundee next month.
Keaghan Jacobs gave Livi the lead after 5 minutes from close range before Alan Lithgow drew the Bully Wee level with a fine free kick to end the first half scoring.
However the hosts came out after the interval fired-up and within 5 minutes of the restart, Clyde were left reeling from a triple whammy. First Liam Fox volley home, followed by strikes from Robbie Winters and Andy Halliday, all within a 3 minute period.
Visiting stopper Callum Reidford had only just recovered when he gifted Halliday his second goal of the night before Robbie Winters grabbed his own brace midway through the half.
Liam Fox completed the demolition with his own 2nd and Livi's 7th goal of the game with 10 minutes to go, and thus secured a record victory for the Lions at Almondvale.
Livingston: McKenzie (McDowell 83), Brown, Talbot, Halliday (Ky Jacobs 66), Watson, MacDonald, Fox, Kn Jacobs, Halliday, R Winters, De Vita (D Winters 70)
Subs not used: Griffin, Sinclair
Clyde: Reidford, Stewart, Cassidy, Casey, Lithgow, Stevenson, McLaughlan, Higgins (Lang 23), Sawyers, Whyte (Boyle 65), Howarth (McFadden 74)
Subs not used: Allan, Graham