The second half of the word (the "komori" part) is not written 子守 but rather 籠り, which means "to isolate oneself".
The 引き part is less "dragged along" in this context and more "pull away from," so the literal meaning is "to pull away from (society) and isolate oneself."
Tae Kim's Guide to Japanese is a resource that has been around for a while that has helped a lot of beginners with the language. I'd recommend checking it out if you are interested in learning the language: http://www.guidetojapanese.org/learn/grammar
You might want to look into "Kanji ABC" by Foerster & Tamura. It was developed some years after Heisig and avoids using nonsensical keywords. I think their approach is better than Heisig if you already have familiarity with a decent number of kanji. The book is out of print so it may be a little tough to get a hold of (I found mine online at Powell's used bookstore). You can see an online version at work[1], but it isn't that useful on its own without the book.
GiveWell[1] and Open Philanthropy[2] would probably be of interest here. (I am a donor to some of GiveWell's recommended organizations but otherwise not affiliated with them)
The 引き part is less "dragged along" in this context and more "pull away from," so the literal meaning is "to pull away from (society) and isolate oneself."