Puttees appear to have been adopted by the British Army about the same time as the 'brown' khaki* for overseas service dress in about the 1880s
The Indian Army (and possibly the British Army in India) had, I believe, adopted these sometime earlier.
Apparently, the reason donkey walloper^H^H^H^H^H^H^H mounted troops tied their puttees from knee to ankle was that, as the knee was in constant contact with the saddle leather and rubbing, the puttee tended to loosen and become unraveled if tied from ankle to knee+.
The problem with this 'practical' argument is that they continues the practice when, dismounted, they served in the Trenches during the Great War, where the mud around the tapes made them incredibly difficult (and when dry - finger shredding) to remove.
Despite what some people will claim, when properly tied, puttees
can be quite comfortable, providing support to the lower leg, however, if badly tied they can almost cripple the wearer or, at best, lead to 'strings' of small 'pressure blisters' on the leg (which itch like the Devil**).
Any help?
Tom
* The original 'khaki' (from the Persian for 'dust) was a blue/grey colour
+ Personally, I think they just did it to be different
** Voice of bitter experience.
The Truth IS Out There, The lies are in your head. (T. Pratchett - 'Hogfather'))