This is already in the polls though no, where you don't know anyone that supports Clinton, even though she does well...
Exactly. I'm very sceptical of a shy anything vote.
The "shy Tory" effect in the 1992 UK general election was enhanced by the fact that the Tories had been in power for 13 years at that point and were generally held to have done some horrendous things, the poll tax being the most prominent. Add to that the natural British reticence to disclose one's true feelings, even to a stranger, and the trap for the pollsters was set.