There are a lot of posts and articles about this, so let me explain as best as I can from a user and owner's point of view.
What is it?
A crypto faucet, gives tiny amounts of crypto, like tiny drips of water that trickle from a faucet.
From an owner's side, it is quite brilliant. You create the premise that a user will come to the site, solve a captcha and get some crypto. By the user needing to solve a riddle or captcha to claim, you are capturing that user's attention for a small time. With that attention, that user can see the ads displayed on the page. Ad owners pay the faucet-page's owner, a set amount per image (impression) that is viewed on the page. For instance, a brand will pay the page's owner $100 if they can show their ad to 1,000 unique users to the page. So, as a owner, you cover the faucet page with 10 ads, with no cost to you but bandwidth and hosting, you make $1,000 until those ad views are used up, then get more ad deals. The page owner makes a lot of money and in return, they give out a tiny fraction amount of what would actually be considered nothing. 1 Satoshi is one-hundred millionth of a Bitcoin and really has no value. So they have your attention for a few seconds and in return they give you nothing. The hope is that you click on an ad, in which the owner gets a money bonus for every click through and may even get a referral bonus if a user buys something from that ad.
From a user's side, you get something for nothing, but time. You give time, which is very valuable, to a site, essentially wasting your time, for very little in return, that has almost no monetary value.
Is it worth it?
Honestly: it depends. Some faucets give very little and some give more. Some give off-beat tokens that no one has heard of, and may never will. While others give tiny amounts of utility tokens that can be used to secure greater amounts later on. I used faucets early on to find as much staking coins as I could and then used those staking coins to slowly gain more crypto. I feel as though my time is too valuable to sit on a faucet site and do survey after survey in order to get $2 in DASH. I had moved away from all sites that rely heavily on surveys and activities and just went in favor of those that work with simple faucets. Even then, I am down to 2 sites only, out of hundreds which I had used in the past. Time is money and the time I spend on a website doing surveys and games and PTC's in order to get 10 or 12 sats, could have been better used finding things that make money without my time.