I don't think you should be able to see that, when your neighbors' cooldown timer is up.
For the players that think this is important, a quick visit to the neighbor's city will tell you how much reduction they have on their timers to give you an estimate.
But if the example above is the case, that an aggressive neighbor attacks and plunders you every morning, then my suggestion would be to schedule your goods harvests at a totally different time, e.g. 5 PM.
I do believe reduced production times and reduced cooldown timers can lead to more plundering, but because on the other servers I'm not on the receiving end of this, I don't really mind
The main reason for my suggestion is the desire to get rid of the 24 hour production times in all buildings and GBs. Harvesting in combination with clicking through the repeating missions always takes me more than 15 minutes, which results in harvest times moving up every day.
For many people, this makes it difficult to fit playing this game into their daily routine, when they have to be at work or school, for example.
If there would be a GB which could shorten the production times to 23 1/2 hours (and less), players can keep their harvest times at fixed points during the day, without sacrificing their off-line obligations in order to play the game - which does cause many players to quit playing FoE, after they have been showing up late for work/school four times in the last week
The great thing about this being a GB bonus, is that players can decide for themselves how much time reduction they need, and what GB level they need to achieve this. If it's done right, the productions won't be sitting idle for long, if at all, so there will be hardly any risk of getting plundered.