Usage patterns
〈人〉の動静を探るto probe into someone's movements/activities
The police are probing into the suspect's movements.
〈人〉の動静を見守るto keep a close watch on someone's situation
Those involved are closely watching the prime minister's movements.
〈事〉の動静を注視するto closely observe developments in something
It is necessary to closely watch developments in the market.