public class MyChronometer extends Chronometer implements LifecycleObserver {

    private long elapsedTime;

    public MyChronometer(Context context, AttributeSet attrs) {
        super(context, attrs);
    }

    @OnLifecycleEvent(Lifecycle.Event.ON_PAUSE)
    private void pauseMeter(){
        elapsedTime = SystemClock.elapsedRealtime() - getBase();
    }

    @OnLifecycleEvent(Lifecycle.Event.ON_RESUME)
    private void resumeMeter(){
        setBase(SystemClock.elapsedRealtime() - elapsedTime);
        start();
    }
}

MyChronometer chronometer = findViewById(R.id.meter);
getLifecycle().addObserver(chronometer);