“One-season wonder” was the accusation most commonly thrown in the youngster's direction, with many feeling that, despite his stellar form for the White Hart Lane side, Kane had never shown signs of developing into such a lethal frontman, and would therefore regress to his mean the following season.
But that certainly wasn't the case. A first Premier League Golden Boot was secured thanks to a 25-goal haul in England's top flight, earning him a regular berth with the Three Lions at senior international level.
Could he be a two-season wonder? Does such a thing even exist? If it does, Kane certainly isn't one, as evidenced by a second Golden Boot last season as be bagged a stunning 29 Premier League goals to help Spurs finish runners-up to Chelsea.
Here, we analyse the statistics behind Kane's three remarkable seasons to see how the 23-year-old has developed into one of the finest strikers in the world.
After finishing the 2014/15 campaign in fine fettle under the auspices of caretaker boss Tim Sherwood, new manager Mauricio Pochettino kept faith in Kane when the former Southampton and Espanyol coach took over at White Hart Lane.
It took him a little while to get going but once Kane hit form he was almost unstoppable, finishing the Premier League season with 21 goals and five assists.
During this campaign, Kane showed a general willingness to involve himself in as much of Spurs' build-up play as possible, making 30.1 passes per 90 minutes at an accuracy of 75.2 per cent.
However, creatively, he still showed room for growth with 0.9 key passes per 90, something he has improved on in each season since.
In 34 league appearances, Kane was played a total of 2582 minutes and was directly involved in a goal, as either creator or scorer, every 103.28 minutes on average.
Taking 3.9 shots be 90 minutes, the England international converted 18.75 per cent of his efforts at goal — a respectable return for a developing striker but, again, plenty of scope for improvement.
The following season saw Kane become a more regular feature for Spurs, playing some part in all 38 of the side's Premier League fixtures for a total of 3370 minutes of action. His return of 25 goals was enough to see him earn the top-flight's Golden Boot award.
The previous campaign, Kane was caught between wanting to be the kind of striker who drops off the frontline to link play in the No.10 zone and playing off the shoulder of the last defender as a more conventional No.9, making him a kind of nine-and-a-half.
In 2015/16, he began to progress towards becoming more of an out-and-out striker, with his passes per 90 dropping to 25.7 at an accuracy of 73.1 per cent, with one assist for the term, and his shots per 90 jumping up from 3.9 the season before to 4.2.
Seemingly taking more of a scattergun approach, Kane's conversion rate dropped to 15.72 per cent, although he appeared to be getting better at identifying and creating opportunities for colleagues, with 1.2 key passes per 90, even if his assists tally dropped.
By the end of the season, he had been involved in a Premier League goal every 129.62 minutes and was a scorer himself every 134.8 minutes.
Last season, Kane's development into not only a more conventional No.9, but also one of the most efficient strikers in Europe, was staggering.
An injury picked up in the FA Cup quarter-final victory over Millwall forced him out of a handful of games, contributing to his total league appearances dropping to 30 for 2536 game minutes.
However, Kane's productivity was off the charts, notching seven times in the last two games of the season to finish on 29 goals along with an impressive tally of seven assists.
This means that Kane was involved in a goal very 70.44 minutes and a direct scorer every 87.45 minutes. Furthermore, the growth in the 23-year-old's finishing skills was evidenced by his incredible 26.26 per cent shot conversion rate. Taking 3.9 shots per 90 at that level of efficiency meant he was just short of averaging a goal for every game played.
Again, his passes per 90 dropped to just 21.2 at an accuracy of 71.7 per cent, but his creative efficiency grew, with 1.5 key passes per 90 helping him reach his return of seven assists for the season.
Even though Kane has maintained his superb form for three seasons now, the numbers clearly show a development and evolution in his game. There can be no doubt that he is now among the world's best in his position.