weather temperature notification on AOD screen refreshing?

[bialy]

Do any of the weather app have notifications that refresh update on the AOD screen?
Seems most of the apps have a little temperature icon in circle.
But if the AOD stays on for long, while the temperature does not change as days goes on; for example, if I look at AOD in afternnoon, it is still showing the morning temperature

 

[bialy]

Seem on the AOD screen, that the time, date, battery status are dynamic (change in real time), but the other notifications are mostly static (like email received). Any weather app that behaves more as a dynamic notification such that temperature in little circle updates at a reasonable frequency?