He made 222 appearances for Tottenham Hotspur scoring 51 goals including some sublime unstoppable penalties, tucked into the side netting behind an upright, before moving to Watford in October 1960.
Harmer signed for Chelsea in 1962 at the age of 34 and made his debut at home to Middlesbrough in October of that year.
In total, he played nine games for Chelsea helping to win promotion to the top flight under manager Tommy Docherty.
Harmer also played an important role in developing young players during the Docherty era, remaining as youth team coach until June 1967.
After his death, a minute's applause was held in his memory before Tottenham Hotspur's Boxing Day win over Fulham at White Hart Lane.