Drinking And Driving
You know that 飲酒 is "drinking alcohol" and 運転する is "to drive", so it makes sense that this word means drunk driving, or drinking and driving.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
Drunk driving is a crime.
I don't want to drink and drive, so I'll go home by taxi.
I didn't know it was considered drunk driving with a bicycle, but that makes sense.