We recovered well after Diego Costa prodded the Blues in front with Harry Kane creating and scoring a goal from almost nothing on the half-hour mark.
Danny Rose lashed home from a tight angle just before the end of the first 45 minutes - and there was still time for Andros Townsend to score from the penalty spot before the break after Kane was upended by Gary Cahill.
Kane scored again seven minutes after the restart, Eden Hazard pulled one back before Nacer Chadli made it 5-2.
John Terry then grabbed a consolation for the Blues three minutes from time.
Spurs: Lloris, Walker, Fazio, Vertonghen, Rose (Davies 76), Mason (Dembele 14), Bentaleb, Townsend (Paulinho 66), Eriksen, Chadli, Kane. Substitutes (not used): Vorm, Chiriches, Stambouli, Soldado.
Chelsea: Courtois, Ivanovic, Cahill, Terry, Azpilicueta, Matic, Fabregas, Willian (Salah 72), Oscar (Ramires 46), Hazard, Costa. Substitutes (not used): Cech, Kouma, Drogba, Mikel, Remy.
Goals: Spurs – Kane 30, 52, Rose 45, Townsend 45+3 pen, Chadli 78; Chelsea – Costa 18, Hazard 61, Terry 87.
Yellow cards: Spurs – Bentaleb, Paulinho; Chelsea – Fabregas.
Referee: Phil Dowd.