1 [countable]especially American English
a metal tool that you use for turning nuts[= spanner British English]
a strong feeling of sadness that you get when you leave a person or place that you love:
Leaving New York had been a terrible wrench.
3 [countable usually singular]
a twisting movement that pulls something violently:
He grabbed the rope and gave it a wrench.
Advanced Learner's Dictionary.