It would prove another of Bill's astute signings with Allen soon on the scoresheet and claiming five goals in our record 13-2 victory against Crewe in the FA Cup in February.
He flourished in the double-winning side of 1960-61 when he bagged 27 league and cup goals, form rewarded with an England Under-23 cap against Wales in February 1961.
An unselfish team player, Allen's strength on the ball and willingness to work went hand in hand with his control and natural eye for goal - underlined with arguably his goal of the season in 60-61, a volley that clinched the points and the championship against Sheffield Wednesday.
Jimmy Greaves' arrival in November 1961 was meant to mark the end of Allen's days at the Lane but, in fact, he partnered the great one in his first dozen games as a Spurs player until Bobby Smith reclaimed the number nine shirt.
It was only Alan Gilzean's arrival in December 1964 that really signalled the end of Allen's career at Spurs and he eventually moved to QPR for £21,000 in the summer of 1965.
His experience proved invaluable at Loftus Road as Rangers progressed from the Third to the First Division and claimed the first League Cup at Wembley in 1967.
Management was his next step following Tommy Docherty's departure from QPR in December 1968, a post he held at QPR until January 1971. He later managed Swindon Town.
The Allen name would be back at the Lane with a bang though - his son Clive one of our great goalscorers of the modern era.
A star as a 16-year-old of Briggs Sports run to the semi-finals of the Amateur Cup in 1954, Leslie William Allen joined Chelsea in September 1954 before being rescued from the Blues' reserves by Bill Nicholson in December 1959.