on someone's watch
US /ɑn ˈsʌm.wʌnz wɑtʃ/
UK /ɑn ˈsʌm.wʌnz wɑtʃ/

1.
في عهد, تحت إشراف
during the period when someone is responsible for something
:
•
The company's profits declined significantly on his watch.
تراجعت أرباح الشركة بشكل كبير في عهده.
•
I won't let anything bad happen to this project on my watch.
لن أسمح بحدوث أي شيء سيء لهذا المشروع في عهدي.