醉 is used both literally (drunk from alcohol) and figuratively (entranced or intoxicated by beauty, music, etc.). 陶醉 means "to be intoxicated / entranced" in the figurative sense.
memory
The left side 酉 is the alcohol radical (a wine vessel). The right side 卒 is "soldier / pawn": a soldier who has had too much wine.
usage
喝醉 = to get drunk. 醉鬼 = drunkard. 醉驾 = drunk driving. 不醉不归 = "won't go home until drunk" (drinking toast).
Wine-vessel radical - pictograph of a sealed amphora of fermented liquid. Anchors 醉 in the alcohol/fermentation family along with 酒 wine, 酸 sour, 酱 sauce, 醒 sober-up, 配 to pair. Without 酉 there is no drunkenness.
Phonetic - 卒 zú to 醉 zuì (regular shift). 卒 has a faint semantic echo too: it means "to finish / die," and being drunk is the "death" of sober consciousness. Same phonetic in 碎 shatter, 粹 pure, 萃 gather, 悴 careworn - a tightly packed family.