Scarlett, fresh from Europa League action, scored twice for Spurs in the away day rout.
Spurs went ahead early, when in the sixth minute a deep dross from the left dropped to Dermi Lusala who had time and space to volley home.
The situation soon worsened for Chelsea, and it was naive defending which led to Tottenham doubling their lead just six minutes after their first. Michael Craig stole possession from Brodi Hughes in a costly position, Craig squared to Scarlett who had the easy job of passing the ball into an empty net.
Roshaun Mathurin stepped up to take a free-kick 20 yards from goal for the visitors and placed the ball into the top corner. A very good start for Tottenham had them leading by three after 21 minutes of play.
After halftime, Spurs' fourth goal came through Scarlett who converted confidently from the penalty spot, before Mathurin lashed home a rebound from close range for their fifth just three minutes later.
Joe Haig pulled one back for Chelsea, before Mathurin created time and space for himself inside the box and found the bottom corner for his hat-trick and Spurs' last for the day.
Chelsea 3-4-3 Ted Curd (Prince Adegoke 39); Alfie Gilchrist (c), Brodi Hughes, Luke Badley-Morgan; Josh Brooking, Josh Tobin, Charlie Webster, Dion Rankine; Silko Thomas (Leo Castledine 53), Joe Haigh, Bryan Fiabema (Ronnie stutter 53)
Unused subs Derrick Abu, Edwin Andersson
Booked Brooking 4; Webster 44
Scorer Haigh 58
Tottenham Thimothee Lo-Tutala (c), Dermi Lusala, Jeremy Kyezu, Matthew Craig, Marqes Muir, Maksim Paskotsi, Roshaun Mathurin, Michael Craig, Dane Scarlett (Jezreel Davies 73), Alfie Devine (Tarelle Whittaker 62), Romaine Mundel
Unused subs Kullum Cesay, Adam Hayton
Booked Kyezu 61
Scorer Lusala 6; Scarlett 14, 47; Mathurin 21, 50, 76