The 39-year-old Taylor enjoyed a successful four-year spell at Cambridge between 1988 and 1992 before joining Bristol Rovers. He then rejoined them in 1997, taking charge in 2001.
With Alan Smith suspended for the next Premiership game at home to Bolton on Saturday week, after picking up his fifth booking of the season last weekend at Portsmouth, there could be a role available alongside Mark Viduka.
Chapuis' first came after fine work from Michael Bridges while an Aaron Lennon cross set up his second strike to make it 4-0.
Cambridge player-manager Taylor got one back for his side on 77 minutes and then Chapuis completed his hat-trick with 10 minutes to go after more good work from Bridges while Leeds' other goals came from Lamine Sakho and Seth Johnson.
The home side got two goals back as the game became more light-hearted and Andrew Bilson-Page, who had bid £2,100 for the privilege of playing for Cambridge, scored them both.
Leeds United First 45 mins: Carson, Kelly, Duberry, Matteo, Harte, Pennant, Morris, Barmby, Seth Johnson, Viduka, Sakho.
Second 45 mins: Carson, Camara, Domi, Keegan, Woods, Lennon, Winter, Simon Johnson, Bridges, Barmby (Chapuis 60), Sakho.