work your socks off可不是工作到袜子都掉了，正确意思：努力勤奋做某事；拼命干活儿。

【例句】
If you work your socks off, or work your tail off, you work very hard.
如果你拼命干活儿，表示你工作非常努力。

I worked my socks off at university and graduated with a great degree.
我上大学的时候十分的努力，然后我以优异的成绩毕业了。