The Doctor uses Venusian Akido on Jorj. This is a discipline that the Third Doctor used extensively, and was used previously by the Twelfth Doctor in Robot of Sherwood (2014)
The title is taken from Andrew Marvell's poem 'To His Coy Mistress', written c1650 and only published posthumously in 1681.
Razor's room is reminiscent of the BBC's Radiophonic Workshop of the 1960s, at least as recreated in Cardiff's 'The Doctor Who Experience', where the groundbreaking and iconic electronic theme music was created.
Missy's introduction of her companions is directly referencing The Cat in the Hat, where the title character has an umbrella, and his traveling companions are "Thing One" and "Thing Two".
Reinforcements from the Future: Part 2 (2002) is speculated to be a possible influence behind (#10.11).