Currently means now. You're currently reading the meaning of the word currently.
As with other words you use to refer to the present time, when you use currently, you're often implying that things might change. For example, if you say you're not currently dating anyone, you're hinting that you might in the future. If you're currently working on your novel, you'll probably be working on something else at some point in the future. If your dog isn't currently house-trained, you're probably hoping he will be soon.