There are several faucets where you yourself choose when to cashout though, like Hotswap, MMOclub, DailyFreeBitcoin, FreeBitco.in, all the Microwallet faucets if you register an account at Microwallet and many more.
And some PTC sites, like Bitvisitor, also pays out dust.
Sorry for the ? dumb question, but I'm new here
What exactly is a "faucet"? I'm mining Vertcoin and I keep seeing the official faucet page but have no idea what it means?!?
It is a website that pays you small amounts of cryptocoins, either to promote a coin or earn money from ad revenue.