Goals from Michael Gash and John Akinde gave the Bees a 2-0 lead before Matty Dolan reduced the deficit with a drive from distance.
Akinde nodded home just after the hour to restore the hosts’ two-goal advantage but the Glovers hit back through unlikely goalscorer Nathan Smith.
With 15 minutes remaining, Francois Zoko blasted home to make the score 3-3 and Harry Cornick completed an excellent turnaround in injury-time.
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Advent Calendar Day One: YTFC’s Number One
Advent Calendar Day Two: Daryl Allinson
Advent Calendar Day Three: YTFC 2-1 Crawley Town
Advent Calendar Day Four: ‘What A Strike!’
Advent Calendar Day Five: A Year In Charge
Advent Calendar Day Six: Nostalgia Mode
Advent Calendar Day Seven: Play-Off Classic
Advent Calendar Day Eight: The 1949 Giant Killers
Advent Calendar Day Nine: Tom Eaves’ Goals