When you use Lightning Data Service, They are raective in nature. Any change on the record gets reflected automatically. In case your component is complicated and it is not happening, You can go for change data capture in Aura components.
As per docs,
The lightning:empApi component provides access to methods for subscribing to a streaming channel and listening to event messages. All streaming channels are supported, including channels for platform events, PushTopic events, generic events, and Change Data Capture events. The lightning:empApi component uses a shared CometD connection, enabling you to run multiple streaming apps in a single browser session. The connection is not shared among multiple user sessions.
You can refire your desired method whenever standard field changes.