Tweed was a form of fashion invented on Europe during the Victorian era.
The Doctor wore tweed jackets during their sixth, (AUDIO: Criss-Cross) seventh (TV: Doctor Who) and eleventh incarnations (TV: The Eleventh Hour). He also wore tweed trousers during his fourth (TV: Robot) and seventh incarnations. (TV: Time and the Rani) When posing as John Smith, his tenth incarnation wore a suit of charcoal tweed. (TV: Human Nature|The Family of Blood)
The Master wore tweed jackets during the Time War. (AUDIO: Only the Good, The Master of Callous, Rage of the Time Lords, Day of the Master, Killing Time)
Jackson Lake wore a single breast overcoat of mustard brown tweed with a maroon overcheck. (TV: The Next Doctor)
Sarah Jane Smith wore a light brown tweed blazer when she met the Tenth Doctor. (TV: School Reunion)
Brigadier Lethbridge Stewart wore a light brown tweed jacket. (TV: Enemy of the Bane)
Yasmin Khan wore a walking suit of bottle green tweed. (TV: Survivors of the Flux, The Vanquishers)
The Dream Lord wore a charcoal tweed jacket during his scenes on the Eleventh Doctor's console room. (TV: Amy's Choice)