The 1,013 "compound" kanji components
All the 3,530 most important kanji can be broken down into just 270 "atomic" components. But sometimes, these atomic components appear again and again in the same combinations. These combinations are also considered kanji components in the Kanjisense system, and given names. As with the atomic components, learning to recognize these "compound" components will help you to learn new kanji much more easily.
The problem is that, as with the characters themselves, there are a multitude of these compound components. Therefore, they don't lend themselves well to rote memorization. But the good news is that most of the compound kanji components double as standalone characters. So there is not really any need to learn them separately from the characters themselves. They are listed here for your reference.
659 compound components doubling as standalone characters
About a quarter of the remaining compound components may be considered variants of standalone characters. Sometimes they are identical in form, minus a few strokes—in other words, an abbreviated form. Other times, the variant form is a more complex historical form of the currently used character. Sometimes, the historical relationship between variant forms is more complicated. But in any case, it's usually easy to see the relation between the two once it's pointed out.
Again, I don't recommend trying to memorize these variants by rote. But as you learn more and more characters, you might find it helpful to return to this list and take note of the patterns in these variations, to reinforce the connections between characters in your memory.
98 compound components which are variants of standalone characters
As for the remaining compound components in the 3,530 most important kanji, which do not appear as standalone characters in everyday modern Japanese, in any form, they are listed below.
In many cases, these components originally derive from standalone characters. When the graphical form of the component is especially evocative and easy to relate to the original character's meaning, I have used in in Kanjisense as the mnemonic keyword for that character. But in so many cases, the modern forms are so hard to visually relate their archaic meanings, that the effort to do so outweighs the benefit. So, for the most part, the mnemonic keywords here relate to the modern form of the character, and to the context in which you are likely to encounter it as a beginner in Japanese.