How we cite our quotes: All quotations are from A Clockwork Orange.
Quote #1
ALEX: There was me, that is Alex, and my three droogs, that is Pete, Georgie, and Dim and we sat in the Korova milkbar trying to make up our rassoodocks what to do with the evening. The Korova Milk Bar sold milkplus, milk plus vellocet or synthemesc or drencrom, which is what we were drinking. This would sharpen you up and make you ready for a bit of the old ultra-violence.
This is the first line in the film, and it lets us know what to expect—nonsense slang and violence. Also, Alex seems to imply that the milk is laced with a chemical that gets them amped up. It doesn't cause them to be violent—they would be without it—but it enhances their capacity for it.
Quote #2
TRAMP: Oh! Ow!
After our brief introduction to our protagonist, we see him and his gang beat up a homeless man. What a guy, right? Seeing him beat up a helpless man makes it hard to root for Alex from early on.
Quote #3
ALEX: It was around by the derelict casino that we came across Billyboy and his four droogs. They were getting ready to perform a little of the old in-out, in-out on a weepy young devotchka they had there.
However, after beating up an old man, Alex seems to "save" a woman who is about to be raped by a rival gang. Alex waits until she's completely naked before stepping in, though, so this is less about being chivalrous than it is about taunting Billyboy's rival gang just as they're about to harm the woman.