Worm Leachate
The liquid that drips from the bottom of the worm bin is NOT worm tea.
That liquid is called leachate and it is NOT recommended for use on plants.
From the Worm Factory's instructional guide:
The liquid runoff that settles in or below the vermicompost or worm castings is known as leachate. Leachate can contain phytotoxins (toxins that can harm plants and humans). Some of these toxins are created by bacteria. Every worm composter has good and bad bacteria. This is ok of course, as long as the good ones outnumber the bad ones. Some leachate can contain harmful pathogens because it has not been processed through the worms intestinal tract. It should not be used on edible garden plants.
Leachate is harmful because it can contain disease causing microbes and can have high acidity. This is because it comes from anaerobic conditions. When your worm bin is so wet that it is dripping water out of the bottom, it means it is waterlogged. If it is waterlogged, it is not getting enough oxygen and all sorts of nasty microbial processes happen in those anaerobic conditions.
If you choose to apply it to your plants, be aware that it may harm them or kill them.
If you have leachate, you can use it to moisten up some dry bedding, and then feed it back to the worms who will safely process it. From there, fix the moisture level in your bin as it is too wet. You should not have any liquid dripping from your bin.
Worm Tea
Worm Tea is much different than Leachate.
Worm Tea is made in aerobic conditions - in the presence of oxygen - so all of the good microbes from your worm castings are present and flourish in the tea.
A pound or two of worm castings is suspended in a tea brewer, and additional foods can be added to help stimulate microbial growth.
This video covers how to make worm tea pretty well. You can start around the 19 minute mark.