I wrote "The best time to visit it, is very earlier in the morning" Now, after I experienced it in a different way, I could say the following:
The best time to visit the tower is 1-2 hours before sunset. It all depends on the season, it might take longer to get on the elevator if the line is long. I visited it by the end of October one day and the line was very long by 5pm. I went again the next day by 4pm and it was very fast.
Naturally, visiting the tower at anytime is amazing! I think I wrote before visiting it in the morning because it might be clear the sky or less people around. But my point of view changed after I lived in this city for 2 months.
Why do I add this? 1, the view is still gorgeous; 2, you get to see the sunset from an amazing point of view; 3, you can see the sparkling lights for 5 minutes (while I was there it was at 6pm, it might change the time); and 4, you get to see the city of light at night from one of the most recognizable structure around the globe.
Since it was fall, I thought I might freeze, but the weather was much better than when I visited during summer and in the morning. I think it was less windy.
Watching the sunset from up there it's awesome. You get to see every single tone of yellows and reds. And to make it better, you get to see the reflexion of lights on the Seine River.
You also get to see the all the lights of important monuments and buildings turning on. 