According to the Twelfth Doctor, there was no such thing as socks until there suddenly were. (TV: Under the Lake)
For Christmas, both Susan Campbell and Lucie Miller bought socks for the Eighth Doctor, while the Doctor intended to give Lucie socks as well. The Doctor was very pleased at receiving socks, as they were practical and no-one ever bought him socks.
The Doctor intended to give Lucie socks, as well as a woolly hat, a bag of bread crumbs, and a TARDIS key with a musical keyring. However, he missed his chance to present his gifts in the ensuing adventure, and only remembered once she had left to travel with Alex Campbell. (AUDIO: Relative Dimensions)
The Seventh Doctor wore a navy blue sock. (PROSE: Return of the Living Dad)
In a hypothetical series of events where Lady Cassandra had not exploded and instead became a beach towel, she was once hung from a washing line alongside a pair of socks from the side of the TARDIS. (PROSE: Cassandra [+]Loading...{"series":"[[DWA 1]]","anthology":"Things to do with a Defeated Enemy","page":"16","1":"Cassandra (short story)"})
The Fifteenth Doctor wore knee-high socks done in moss green with a kilt of tartan when searching for goblins during 2023. (TV: The Church on Ruby Road) He also wore grey socks in similar height. (COMIC: The Hans of Fear)