To remove via cutting.
To isolate or remove from contact.
To stop providing funds to (someone).
His parents cut him off to encourage him to find a job.
To end abruptly.
My phone call was cut off before I could get the information.
To interrupt (someone speaking).
That dingbat cut me off as I was about to conclude my thesis.
To swerve in front of (another car) while driving.
To turn off or switch off (an electrical device).
Cut off the lamp so I can get some sleep.