Don't remember them being in the Tube. Yetis and cobwebs, yes...
Apparently so, according to the Wikipedia entry on
The Web of Fear, which was broadcast back when my age was barely single digit, so I don't have any memories of it.
Interestingly that was also one of the first episodes to have UNIT and Lethbridge-Stewart in it, both of which have recently also been reintroduced, albeit with the Brigadiers daughter, rather than him, since he died (both in the Dr Who universe, and the actor in the real universe).