word forming element indicating "oneself," also "automatic," from Old English use of self (pron.) in compounds, such as selfbana "suicide," selflice "self-love, pride, vanity, egotism," selfwill "free will." Middle English had self-witte "one's own knowledge and intelligence" (early 15c.).
OED counts 13 such compounds in Old English. Middle English Compendium lists four, counting the self-will group as a whole. It re-emerges as a living word-forming element mid-16c., "probably to a great extent by imitation or reminiscence of Greek compounds in (auto-)," and formed a great many words in the pamphlet disputes of the 17c.
1590s, "to concentrate at a center," from center (n.). The meaning "to rest as at a center" is from 1620s. The sports sense of "to hit toward the center" is from 1890. Related: Centered; centering. To be centered on is from 1713. In combinations, -centered is attested by 1958.
<a href="https://www.etymonline.com/word/self-centered">Etymology of self-centered by etymonline</a>
Harper, D. (n.d.). Etymology of self-centered. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/self-centered